Home / 1,557.65-2,335.46-766.92

Finding the Fourth Proportional to 1,557.65, 2,335.46 and 766.92

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Solution

The fourth proportional to 1,557.65, 2,335.46 and 766.92 is: 1,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.65 : 2,335.46 = 766.92 : x
  2. Step 2: Convert to fraction form
    1,557.65/2,335.46 = 766.92/x
  3. Step 3: Cross multiply
    1,557.65x = 2,335.46 × 766.92
  4. Step 4: Simplify right side
    1,557.65x = 1,791,107.15
  5. Step 5: Solve for x
    x = 1,791,107.15/1,557.65
  6. Step 6: Final answer
    x = 1,149.88

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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.