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Finding the Fourth Proportional to 2,712.72, 3,737.16 and 2,237.52

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Solution

The fourth proportional to 2,712.72, 3,737.16 and 2,237.52 is: 3,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.72 : 3,737.16 = 2,237.52 : x
  2. Step 2: Convert to fraction form
    2,712.72/3,737.16 = 2,237.52/x
  3. Step 3: Cross multiply
    2,712.72x = 3,737.16 × 2,237.52
  4. Step 4: Simplify right side
    2,712.72x = 8,361,970.24
  5. Step 5: Solve for x
    x = 8,361,970.24/2,712.72
  6. Step 6: Final answer
    x = 3,082.50

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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.