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Finding the Fourth Proportional to 2,152.87, 3,230.76 and 766.23

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Solution

The fourth proportional to 2,152.87, 3,230.76 and 766.23 is: 1,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.87 : 3,230.76 = 766.23 : x
  2. Step 2: Convert to fraction form
    2,152.87/3,230.76 = 766.23/x
  3. Step 3: Cross multiply
    2,152.87x = 3,230.76 × 766.23
  4. Step 4: Simplify right side
    2,152.87x = 2,475,505.23
  5. Step 5: Solve for x
    x = 2,475,505.23/2,152.87
  6. Step 6: Final answer
    x = 1,149.86

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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.