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Finding the Fourth Proportional to 2,327.67, 3,490.76 and 767.31

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Solution

The fourth proportional to 2,327.67, 3,490.76 and 767.31 is: 1,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.67 : 3,490.76 = 767.31 : x
  2. Step 2: Convert to fraction form
    2,327.67/3,490.76 = 767.31/x
  3. Step 3: Cross multiply
    2,327.67x = 3,490.76 × 767.31
  4. Step 4: Simplify right side
    2,327.67x = 2,678,491.22
  5. Step 5: Solve for x
    x = 2,678,491.22/2,327.67
  6. Step 6: Final answer
    x = 1,150.72

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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.