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Finding the Fourth Proportional to 2,672.67, 3,688.50 and 1,538.70

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Solution

The fourth proportional to 2,672.67, 3,688.50 and 1,538.70 is: 2,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.67 : 3,688.50 = 1,538.70 : x
  2. Step 2: Convert to fraction form
    2,672.67/3,688.50 = 1,538.70/x
  3. Step 3: Cross multiply
    2,672.67x = 3,688.50 × 1,538.70
  4. Step 4: Simplify right side
    2,672.67x = 5,675,480.40
  5. Step 5: Solve for x
    x = 5,675,480.40/2,672.67
  6. Step 6: Final answer
    x = 2,123.52

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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.