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Finding the Fourth Proportional to 1,257.06, 1,884.22 and 1,073.90

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Solution

The fourth proportional to 1,257.06, 1,884.22 and 1,073.90 is: 1,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.06 : 1,884.22 = 1,073.90 : x
  2. Step 2: Convert to fraction form
    1,257.06/1,884.22 = 1,073.90/x
  3. Step 3: Cross multiply
    1,257.06x = 1,884.22 × 1,073.90
  4. Step 4: Simplify right side
    1,257.06x = 2,023,462.85
  5. Step 5: Solve for x
    x = 2,023,462.85/1,257.06
  6. Step 6: Final answer
    x = 1,609.68

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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.