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Finding the Fourth Proportional to 2,883.92, 4,327 and 1,153.76

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Solution

The fourth proportional to 2,883.92, 4,327 and 1,153.76 is: 1,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.92 : 4,327 = 1,153.76 : x
  2. Step 2: Convert to fraction form
    2,883.92/4,327 = 1,153.76/x
  3. Step 3: Cross multiply
    2,883.92x = 4,327 × 1,153.76
  4. Step 4: Simplify right side
    2,883.92x = 4,992,319.52
  5. Step 5: Solve for x
    x = 4,992,319.52/2,883.92
  6. Step 6: Final answer
    x = 1,731.09

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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.