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Finding the Fourth Proportional to 2,672.72, 3,980.88 and 2,534

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Solution

The fourth proportional to 2,672.72, 3,980.88 and 2,534 is: 3,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.72 : 3,980.88 = 2,534 : x
  2. Step 2: Convert to fraction form
    2,672.72/3,980.88 = 2,534/x
  3. Step 3: Cross multiply
    2,672.72x = 3,980.88 × 2,534
  4. Step 4: Simplify right side
    2,672.72x = 10,087,549.92
  5. Step 5: Solve for x
    x = 10,087,549.92/2,672.72
  6. Step 6: Final answer
    x = 3,774.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.