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Finding the Fourth Proportional to 2,672.67, 3,688.43 and 1,493.72

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Solution

The fourth proportional to 2,672.67, 3,688.43 and 1,493.72 is: 2,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.67 : 3,688.43 = 1,493.72 : x
  2. Step 2: Convert to fraction form
    2,672.67/3,688.43 = 1,493.72/x
  3. Step 3: Cross multiply
    2,672.67x = 3,688.43 × 1,493.72
  4. Step 4: Simplify right side
    2,672.67x = 5,509,455.75
  5. Step 5: Solve for x
    x = 5,509,455.75/2,672.67
  6. Step 6: Final answer
    x = 2,061.41

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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.