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Finding the Fourth Proportional to 2,725.16, 3,760.67 and 2,502

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Solution

The fourth proportional to 2,725.16, 3,760.67 and 2,502 is: 3,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.16 : 3,760.67 = 2,502 : x
  2. Step 2: Convert to fraction form
    2,725.16/3,760.67 = 2,502/x
  3. Step 3: Cross multiply
    2,725.16x = 3,760.67 × 2,502
  4. Step 4: Simplify right side
    2,725.16x = 9,409,202.60
  5. Step 5: Solve for x
    x = 9,409,202.60/2,725.16
  6. Step 6: Final answer
    x = 3,452.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.