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Finding the Fourth Proportional to 2,770.13, 4,157.17 and 1,538.53

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Solution

The fourth proportional to 2,770.13, 4,157.17 and 1,538.53 is: 2,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.13 : 4,157.17 = 1,538.53 : x
  2. Step 2: Convert to fraction form
    2,770.13/4,157.17 = 1,538.53/x
  3. Step 3: Cross multiply
    2,770.13x = 4,157.17 × 1,538.53
  4. Step 4: Simplify right side
    2,770.13x = 6,395,916.52
  5. Step 5: Solve for x
    x = 6,395,916.52/2,770.13
  6. Step 6: Final answer
    x = 2,308.88

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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.