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Finding the Fourth Proportional to 2,672.80, 3,688 and 1,493.76

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Solution

The fourth proportional to 2,672.80, 3,688 and 1,493.76 is: 2,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.80 : 3,688 = 1,493.76 : x
  2. Step 2: Convert to fraction form
    2,672.80/3,688 = 1,493.76/x
  3. Step 3: Cross multiply
    2,672.80x = 3,688 × 1,493.76
  4. Step 4: Simplify right side
    2,672.80x = 5,508,986.88
  5. Step 5: Solve for x
    x = 5,508,986.88/2,672.80
  6. Step 6: Final answer
    x = 2,061.13

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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.