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Finding the Fourth Proportional to 1,357.29, 1,872.32 and 931.59

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Solution

The fourth proportional to 1,357.29, 1,872.32 and 931.59 is: 1,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.29 : 1,872.32 = 931.59 : x
  2. Step 2: Convert to fraction form
    1,357.29/1,872.32 = 931.59/x
  3. Step 3: Cross multiply
    1,357.29x = 1,872.32 × 931.59
  4. Step 4: Simplify right side
    1,357.29x = 1,744,229.93
  5. Step 5: Solve for x
    x = 1,744,229.93/1,357.29
  6. Step 6: Final answer
    x = 1,285.08

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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.