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Finding the Fourth Proportional to 2,538.42, 3,807.63 and 1,672.53

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Solution

The fourth proportional to 2,538.42, 3,807.63 and 1,672.53 is: 2,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.42 : 3,807.63 = 1,672.53 : x
  2. Step 2: Convert to fraction form
    2,538.42/3,807.63 = 1,672.53/x
  3. Step 3: Cross multiply
    2,538.42x = 3,807.63 × 1,672.53
  4. Step 4: Simplify right side
    2,538.42x = 6,368,375.40
  5. Step 5: Solve for x
    x = 6,368,375.40/2,538.42
  6. Step 6: Final answer
    x = 2,508.80

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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.