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Finding the Fourth Proportional to 2,756.31, 4,134.68 and 781.91

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Solution

The fourth proportional to 2,756.31, 4,134.68 and 781.91 is: 1,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.31 : 4,134.68 = 781.91 : x
  2. Step 2: Convert to fraction form
    2,756.31/4,134.68 = 781.91/x
  3. Step 3: Cross multiply
    2,756.31x = 4,134.68 × 781.91
  4. Step 4: Simplify right side
    2,756.31x = 3,232,923.06
  5. Step 5: Solve for x
    x = 3,232,923.06/2,756.31
  6. Step 6: Final answer
    x = 1,172.92

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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.