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Finding the Fourth Proportional to 2,309.27, 3,463.91 and 577.90

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Solution

The fourth proportional to 2,309.27, 3,463.91 and 577.90 is: 866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.27 : 3,463.91 = 577.90 : x
  2. Step 2: Convert to fraction form
    2,309.27/3,463.91 = 577.90/x
  3. Step 3: Cross multiply
    2,309.27x = 3,463.91 × 577.90
  4. Step 4: Simplify right side
    2,309.27x = 2,001,773.38
  5. Step 5: Solve for x
    x = 2,001,773.38/2,309.27
  6. Step 6: Final answer
    x = 866.84

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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.