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Finding the Fourth Proportional to 2,417.32, 3,625.98 and 686.04

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Solution

The fourth proportional to 2,417.32, 3,625.98 and 686.04 is: 1,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.32 : 3,625.98 = 686.04 : x
  2. Step 2: Convert to fraction form
    2,417.32/3,625.98 = 686.04/x
  3. Step 3: Cross multiply
    2,417.32x = 3,625.98 × 686.04
  4. Step 4: Simplify right side
    2,417.32x = 2,487,567.32
  5. Step 5: Solve for x
    x = 2,487,567.32/2,417.32
  6. Step 6: Final answer
    x = 1,029.06

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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.