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Finding the Fourth Proportional to 3,209.52, 4,429.12 and 1,737.52

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Solution

The fourth proportional to 3,209.52, 4,429.12 and 1,737.52 is: 2,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.52 : 4,429.12 = 1,737.52 : x
  2. Step 2: Convert to fraction form
    3,209.52/4,429.12 = 1,737.52/x
  3. Step 3: Cross multiply
    3,209.52x = 4,429.12 × 1,737.52
  4. Step 4: Simplify right side
    3,209.52x = 7,695,684.58
  5. Step 5: Solve for x
    x = 7,695,684.58/3,209.52
  6. Step 6: Final answer
    x = 2,397.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.