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Finding the Fourth Proportional to 2,331.55, 3,496.42 and 869.91

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Solution

The fourth proportional to 2,331.55, 3,496.42 and 869.91 is: 1,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.55 : 3,496.42 = 869.91 : x
  2. Step 2: Convert to fraction form
    2,331.55/3,496.42 = 869.91/x
  3. Step 3: Cross multiply
    2,331.55x = 3,496.42 × 869.91
  4. Step 4: Simplify right side
    2,331.55x = 3,041,570.72
  5. Step 5: Solve for x
    x = 3,041,570.72/2,331.55
  6. Step 6: Final answer
    x = 1,304.53

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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.