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Finding the Fourth Proportional to 3,044.56, 4,566.48 and 853.08

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Solution

The fourth proportional to 3,044.56, 4,566.48 and 853.08 is: 1,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.56 : 4,566.48 = 853.08 : x
  2. Step 2: Convert to fraction form
    3,044.56/4,566.48 = 853.08/x
  3. Step 3: Cross multiply
    3,044.56x = 4,566.48 × 853.08
  4. Step 4: Simplify right side
    3,044.56x = 3,895,572.76
  5. Step 5: Solve for x
    x = 3,895,572.76/3,044.56
  6. Step 6: Final answer
    x = 1,279.52

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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.