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Finding the Fourth Proportional to 3,044.91, 4,566.82 and 853.10

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Solution

The fourth proportional to 3,044.91, 4,566.82 and 853.10 is: 1,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.91 : 4,566.82 = 853.10 : x
  2. Step 2: Convert to fraction form
    3,044.91/4,566.82 = 853.10/x
  3. Step 3: Cross multiply
    3,044.91x = 4,566.82 × 853.10
  4. Step 4: Simplify right side
    3,044.91x = 3,895,954.14
  5. Step 5: Solve for x
    x = 3,895,954.14/3,044.91
  6. Step 6: Final answer
    x = 1,279.50

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Half scale
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Double scale
Find fourth proportional to 3,045.91, 4,568.32 and 854.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.