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Finding the Fourth Proportional to 2,193.32, 3,282.91 and 1,151.86

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Solution

The fourth proportional to 2,193.32, 3,282.91 and 1,151.86 is: 1,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.32 : 3,282.91 = 1,151.86 : x
  2. Step 2: Convert to fraction form
    2,193.32/3,282.91 = 1,151.86/x
  3. Step 3: Cross multiply
    2,193.32x = 3,282.91 × 1,151.86
  4. Step 4: Simplify right side
    2,193.32x = 3,781,452.71
  5. Step 5: Solve for x
    x = 3,781,452.71/2,193.32
  6. Step 6: Final answer
    x = 1,724.08

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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.