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Finding the Fourth Proportional to 2,266.31, 3,397.35 and 880.55

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Solution

The fourth proportional to 2,266.31, 3,397.35 and 880.55 is: 1,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.31 : 3,397.35 = 880.55 : x
  2. Step 2: Convert to fraction form
    2,266.31/3,397.35 = 880.55/x
  3. Step 3: Cross multiply
    2,266.31x = 3,397.35 × 880.55
  4. Step 4: Simplify right side
    2,266.31x = 2,991,519.56
  5. Step 5: Solve for x
    x = 2,991,519.56/2,266.31
  6. Step 6: Final answer
    x = 1,320.00

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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.