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Finding the Fourth Proportional to 2,189.79, 3,281.60 and 1,863.86

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Solution

The fourth proportional to 2,189.79, 3,281.60 and 1,863.86 is: 2,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.79 : 3,281.60 = 1,863.86 : x
  2. Step 2: Convert to fraction form
    2,189.79/3,281.60 = 1,863.86/x
  3. Step 3: Cross multiply
    2,189.79x = 3,281.60 × 1,863.86
  4. Step 4: Simplify right side
    2,189.79x = 6,116,417.25
  5. Step 5: Solve for x
    x = 6,116,417.25/2,189.79
  6. Step 6: Final answer
    x = 2,793.15

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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.