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Finding the Fourth Proportional to 2,569.39, 3,854.10 and 924.78

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Solution

The fourth proportional to 2,569.39, 3,854.10 and 924.78 is: 1,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.39 : 3,854.10 = 924.78 : x
  2. Step 2: Convert to fraction form
    2,569.39/3,854.10 = 924.78/x
  3. Step 3: Cross multiply
    2,569.39x = 3,854.10 × 924.78
  4. Step 4: Simplify right side
    2,569.39x = 3,564,212.52
  5. Step 5: Solve for x
    x = 3,564,212.52/2,569.39
  6. Step 6: Final answer
    x = 1,387.18

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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.