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Finding the Fourth Proportional to 1,357.54, 1,872.55 and 1,042.32

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Solution

The fourth proportional to 1,357.54, 1,872.55 and 1,042.32 is: 1,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.54 : 1,872.55 = 1,042.32 : x
  2. Step 2: Convert to fraction form
    1,357.54/1,872.55 = 1,042.32/x
  3. Step 3: Cross multiply
    1,357.54x = 1,872.55 × 1,042.32
  4. Step 4: Simplify right side
    1,357.54x = 1,951,788.24
  5. Step 5: Solve for x
    x = 1,951,788.24/1,357.54
  6. Step 6: Final answer
    x = 1,437.74

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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.