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Finding the Fourth Proportional to 2,167.72, 3,250.81 and 780.68

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Solution

The fourth proportional to 2,167.72, 3,250.81 and 780.68 is: 1,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.72 : 3,250.81 = 780.68 : x
  2. Step 2: Convert to fraction form
    2,167.72/3,250.81 = 780.68/x
  3. Step 3: Cross multiply
    2,167.72x = 3,250.81 × 780.68
  4. Step 4: Simplify right side
    2,167.72x = 2,537,859.01
  5. Step 5: Solve for x
    x = 2,537,859.01/2,167.72
  6. Step 6: Final answer
    x = 1,170.75

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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.