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Finding the Fourth Proportional to 3,044.30, 4,566.58 and 853.16

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Solution

The fourth proportional to 3,044.30, 4,566.58 and 853.16 is: 1,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.30 : 4,566.58 = 853.16 : x
  2. Step 2: Convert to fraction form
    3,044.30/4,566.58 = 853.16/x
  3. Step 3: Cross multiply
    3,044.30x = 4,566.58 × 853.16
  4. Step 4: Simplify right side
    3,044.30x = 3,896,023.39
  5. Step 5: Solve for x
    x = 3,896,023.39/3,044.30
  6. Step 6: Final answer
    x = 1,279.78

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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.