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Finding the Fourth Proportional to 1,257.36, 1,882.44 and 1,039.92

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Solution

The fourth proportional to 1,257.36, 1,882.44 and 1,039.92 is: 1,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.36 : 1,882.44 = 1,039.92 : x
  2. Step 2: Convert to fraction form
    1,257.36/1,882.44 = 1,039.92/x
  3. Step 3: Cross multiply
    1,257.36x = 1,882.44 × 1,039.92
  4. Step 4: Simplify right side
    1,257.36x = 1,957,587.00
  5. Step 5: Solve for x
    x = 1,957,587.00/1,257.36
  6. Step 6: Final answer
    x = 1,556.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.