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Finding the Fourth Proportional to 2,502.84, 3,754.05 and 1,462.17

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Solution

The fourth proportional to 2,502.84, 3,754.05 and 1,462.17 is: 2,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.84 : 3,754.05 = 1,462.17 : x
  2. Step 2: Convert to fraction form
    2,502.84/3,754.05 = 1,462.17/x
  3. Step 3: Cross multiply
    2,502.84x = 3,754.05 × 1,462.17
  4. Step 4: Simplify right side
    2,502.84x = 5,489,059.29
  5. Step 5: Solve for x
    x = 5,489,059.29/2,502.84
  6. Step 6: Final answer
    x = 2,193.13

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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.