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Finding the Fourth Proportional to 2,502.67, 3,453.15 and 1,454.17

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Solution

The fourth proportional to 2,502.67, 3,453.15 and 1,454.17 is: 2,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.67 : 3,453.15 = 1,454.17 : x
  2. Step 2: Convert to fraction form
    2,502.67/3,453.15 = 1,454.17/x
  3. Step 3: Cross multiply
    2,502.67x = 3,453.15 × 1,454.17
  4. Step 4: Simplify right side
    2,502.67x = 5,021,467.14
  5. Step 5: Solve for x
    x = 5,021,467.14/2,502.67
  6. Step 6: Final answer
    x = 2,006.44

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