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Finding the Fourth Proportional to 2,167.83, 3,249.90 and 780.39

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Solution

The fourth proportional to 2,167.83, 3,249.90 and 780.39 is: 1,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.83 : 3,249.90 = 780.39 : x
  2. Step 2: Convert to fraction form
    2,167.83/3,249.90 = 780.39/x
  3. Step 3: Cross multiply
    2,167.83x = 3,249.90 × 780.39
  4. Step 4: Simplify right side
    2,167.83x = 2,536,189.46
  5. Step 5: Solve for x
    x = 2,536,189.46/2,167.83
  6. Step 6: Final answer
    x = 1,169.92

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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.