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Finding the Fourth Proportional to 2,426.17, 3,639.48 and 671.10

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Solution

The fourth proportional to 2,426.17, 3,639.48 and 671.10 is: 1,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.17 : 3,639.48 = 671.10 : x
  2. Step 2: Convert to fraction form
    2,426.17/3,639.48 = 671.10/x
  3. Step 3: Cross multiply
    2,426.17x = 3,639.48 × 671.10
  4. Step 4: Simplify right side
    2,426.17x = 2,442,455.03
  5. Step 5: Solve for x
    x = 2,442,455.03/2,426.17
  6. Step 6: Final answer
    x = 1,006.71

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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.