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Finding the Fourth Proportional to 1,358.33, 1,872.10 and 1,120.87

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Solution

The fourth proportional to 1,358.33, 1,872.10 and 1,120.87 is: 1,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.33 : 1,872.10 = 1,120.87 : x
  2. Step 2: Convert to fraction form
    1,358.33/1,872.10 = 1,120.87/x
  3. Step 3: Cross multiply
    1,358.33x = 1,872.10 × 1,120.87
  4. Step 4: Simplify right side
    1,358.33x = 2,098,384.47
  5. Step 5: Solve for x
    x = 2,098,384.47/1,358.33
  6. Step 6: Final answer
    x = 1,544.83

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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.