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Finding the Fourth Proportional to 2,280.92, 3,421.32 and 741.92

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Solution

The fourth proportional to 2,280.92, 3,421.32 and 741.92 is: 1,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.92 : 3,421.32 = 741.92 : x
  2. Step 2: Convert to fraction form
    2,280.92/3,421.32 = 741.92/x
  3. Step 3: Cross multiply
    2,280.92x = 3,421.32 × 741.92
  4. Step 4: Simplify right side
    2,280.92x = 2,538,345.73
  5. Step 5: Solve for x
    x = 2,538,345.73/2,280.92
  6. Step 6: Final answer
    x = 1,112.86

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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.