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Finding the Fourth Proportional to 2,497.18, 3,745.74 and 648.13

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Solution

The fourth proportional to 2,497.18, 3,745.74 and 648.13 is: 972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.18 : 3,745.74 = 648.13 : x
  2. Step 2: Convert to fraction form
    2,497.18/3,745.74 = 648.13/x
  3. Step 3: Cross multiply
    2,497.18x = 3,745.74 × 648.13
  4. Step 4: Simplify right side
    2,497.18x = 2,427,726.47
  5. Step 5: Solve for x
    x = 2,427,726.47/2,497.18
  6. Step 6: Final answer
    x = 972.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.