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Finding the Fourth Proportional to 2,167.16, 3,249.72 and 780.17

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Solution

The fourth proportional to 2,167.16, 3,249.72 and 780.17 is: 1,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.16 : 3,249.72 = 780.17 : x
  2. Step 2: Convert to fraction form
    2,167.16/3,249.72 = 780.17/x
  3. Step 3: Cross multiply
    2,167.16x = 3,249.72 × 780.17
  4. Step 4: Simplify right side
    2,167.16x = 2,535,317.80
  5. Step 5: Solve for x
    x = 2,535,317.80/2,167.16
  6. Step 6: Final answer
    x = 1,169.88

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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.