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Finding the Fourth Proportional to 2,327.02, 3,490.95 and 767.11

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Solution

The fourth proportional to 2,327.02, 3,490.95 and 767.11 is: 1,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.02 : 3,490.95 = 767.11 : x
  2. Step 2: Convert to fraction form
    2,327.02/3,490.95 = 767.11/x
  3. Step 3: Cross multiply
    2,327.02x = 3,490.95 × 767.11
  4. Step 4: Simplify right side
    2,327.02x = 2,677,942.65
  5. Step 5: Solve for x
    x = 2,677,942.65/2,327.02
  6. Step 6: Final answer
    x = 1,150.80

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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.