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Finding the Fourth Proportional to 2,502.44, 3,753.66 and 1,526.66

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Solution

The fourth proportional to 2,502.44, 3,753.66 and 1,526.66 is: 2,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.44 : 3,753.66 = 1,526.66 : x
  2. Step 2: Convert to fraction form
    2,502.44/3,753.66 = 1,526.66/x
  3. Step 3: Cross multiply
    2,502.44x = 3,753.66 × 1,526.66
  4. Step 4: Simplify right side
    2,502.44x = 5,730,562.58
  5. Step 5: Solve for x
    x = 5,730,562.58/2,502.44
  6. Step 6: Final answer
    x = 2,289.99

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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.