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Finding the Fourth Proportional to 2,515.04, 3,772.94 and 871.37

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Solution

The fourth proportional to 2,515.04, 3,772.94 and 871.37 is: 1,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.04 : 3,772.94 = 871.37 : x
  2. Step 2: Convert to fraction form
    2,515.04/3,772.94 = 871.37/x
  3. Step 3: Cross multiply
    2,515.04x = 3,772.94 × 871.37
  4. Step 4: Simplify right side
    2,515.04x = 3,287,638.34
  5. Step 5: Solve for x
    x = 3,287,638.34/2,515.04
  6. Step 6: Final answer
    x = 1,307.19

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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.