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Finding the Fourth Proportional to 2,957.28, 4,435.55 and 765.82

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Solution

The fourth proportional to 2,957.28, 4,435.55 and 765.82 is: 1,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.28 : 4,435.55 = 765.82 : x
  2. Step 2: Convert to fraction form
    2,957.28/4,435.55 = 765.82/x
  3. Step 3: Cross multiply
    2,957.28x = 4,435.55 × 765.82
  4. Step 4: Simplify right side
    2,957.28x = 3,396,832.90
  5. Step 5: Solve for x
    x = 3,396,832.90/2,957.28
  6. Step 6: Final answer
    x = 1,148.63

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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.