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Finding the Fourth Proportional to 2,672.61, 3,688.19 and 1,493.68

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Solution

The fourth proportional to 2,672.61, 3,688.19 and 1,493.68 is: 2,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.61 : 3,688.19 = 1,493.68 : x
  2. Step 2: Convert to fraction form
    2,672.61/3,688.19 = 1,493.68/x
  3. Step 3: Cross multiply
    2,672.61x = 3,688.19 × 1,493.68
  4. Step 4: Simplify right side
    2,672.61x = 5,508,975.64
  5. Step 5: Solve for x
    x = 5,508,975.64/2,672.61
  6. Step 6: Final answer
    x = 2,061.27

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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.