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Finding the Fourth Proportional to 2,765.61, 4,149.97 and 1,532.86

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Solution

The fourth proportional to 2,765.61, 4,149.97 and 1,532.86 is: 2,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.61 : 4,149.97 = 1,532.86 : x
  2. Step 2: Convert to fraction form
    2,765.61/4,149.97 = 1,532.86/x
  3. Step 3: Cross multiply
    2,765.61x = 4,149.97 × 1,532.86
  4. Step 4: Simplify right side
    2,765.61x = 6,361,308.81
  5. Step 5: Solve for x
    x = 6,361,308.81/2,765.61
  6. Step 6: Final answer
    x = 2,300.15

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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.