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Finding the Fourth Proportional to 2,165.68, 3,248.16 and 626.32

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Solution

The fourth proportional to 2,165.68, 3,248.16 and 626.32 is: 939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.68 : 3,248.16 = 626.32 : x
  2. Step 2: Convert to fraction form
    2,165.68/3,248.16 = 626.32/x
  3. Step 3: Cross multiply
    2,165.68x = 3,248.16 × 626.32
  4. Step 4: Simplify right side
    2,165.68x = 2,034,387.57
  5. Step 5: Solve for x
    x = 2,034,387.57/2,165.68
  6. Step 6: Final answer
    x = 939.38

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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.