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Finding the Fourth Proportional to 2,330.77, 3,496.31 and 869.43

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Solution

The fourth proportional to 2,330.77, 3,496.31 and 869.43 is: 1,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.77 : 3,496.31 = 869.43 : x
  2. Step 2: Convert to fraction form
    2,330.77/3,496.31 = 869.43/x
  3. Step 3: Cross multiply
    2,330.77x = 3,496.31 × 869.43
  4. Step 4: Simplify right side
    2,330.77x = 3,039,796.80
  5. Step 5: Solve for x
    x = 3,039,796.80/2,330.77
  6. Step 6: Final answer
    x = 1,304.20

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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.