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Finding the Fourth Proportional to 2,193.92, 3,287.04 and 1,280

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Solution

The fourth proportional to 2,193.92, 3,287.04 and 1,280 is: 1,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.92 : 3,287.04 = 1,280 : x
  2. Step 2: Convert to fraction form
    2,193.92/3,287.04 = 1,280/x
  3. Step 3: Cross multiply
    2,193.92x = 3,287.04 × 1,280
  4. Step 4: Simplify right side
    2,193.92x = 4,207,411.20
  5. Step 5: Solve for x
    x = 4,207,411.20/2,193.92
  6. Step 6: Final answer
    x = 1,917.76

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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.