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Finding the Fourth Proportional to 2,513.98, 3,772.11 and 871.72

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Solution

The fourth proportional to 2,513.98, 3,772.11 and 871.72 is: 1,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.98 : 3,772.11 = 871.72 : x
  2. Step 2: Convert to fraction form
    2,513.98/3,772.11 = 871.72/x
  3. Step 3: Cross multiply
    2,513.98x = 3,772.11 × 871.72
  4. Step 4: Simplify right side
    2,513.98x = 3,288,223.73
  5. Step 5: Solve for x
    x = 3,288,223.73/2,513.98
  6. Step 6: Final answer
    x = 1,307.98

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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.