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Finding the Fourth Proportional to 1,626.57, 2,424.24 and 1,594.17

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Solution

The fourth proportional to 1,626.57, 2,424.24 and 1,594.17 is: 2,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.57 : 2,424.24 = 1,594.17 : x
  2. Step 2: Convert to fraction form
    1,626.57/2,424.24 = 1,594.17/x
  3. Step 3: Cross multiply
    1,626.57x = 2,424.24 × 1,594.17
  4. Step 4: Simplify right side
    1,626.57x = 3,864,650.68
  5. Step 5: Solve for x
    x = 3,864,650.68/1,626.57
  6. Step 6: Final answer
    x = 2,375.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.