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Finding the Fourth Proportional to 2,515.23, 3,773.16 and 871.32

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Solution

The fourth proportional to 2,515.23, 3,773.16 and 871.32 is: 1,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.23 : 3,773.16 = 871.32 : x
  2. Step 2: Convert to fraction form
    2,515.23/3,773.16 = 871.32/x
  3. Step 3: Cross multiply
    2,515.23x = 3,773.16 × 871.32
  4. Step 4: Simplify right side
    2,515.23x = 3,287,629.77
  5. Step 5: Solve for x
    x = 3,287,629.77/2,515.23
  6. Step 6: Final answer
    x = 1,307.09

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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.