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Finding the Fourth Proportional to 2,188.92, 3,281.86 and 1,132.18

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Solution

The fourth proportional to 2,188.92, 3,281.86 and 1,132.18 is: 1,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.92 : 3,281.86 = 1,132.18 : x
  2. Step 2: Convert to fraction form
    2,188.92/3,281.86 = 1,132.18/x
  3. Step 3: Cross multiply
    2,188.92x = 3,281.86 × 1,132.18
  4. Step 4: Simplify right side
    2,188.92x = 3,715,656.25
  5. Step 5: Solve for x
    x = 3,715,656.25/2,188.92
  6. Step 6: Final answer
    x = 1,697.48

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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.