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Finding the Fourth Proportional to 1,331.57, 1,838.21 and 1,032.15

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Solution

The fourth proportional to 1,331.57, 1,838.21 and 1,032.15 is: 1,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.57 : 1,838.21 = 1,032.15 : x
  2. Step 2: Convert to fraction form
    1,331.57/1,838.21 = 1,032.15/x
  3. Step 3: Cross multiply
    1,331.57x = 1,838.21 × 1,032.15
  4. Step 4: Simplify right side
    1,331.57x = 1,897,303.29
  5. Step 5: Solve for x
    x = 1,897,303.29/1,331.57
  6. Step 6: Final answer
    x = 1,424.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.