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Finding the Fourth Proportional to 2,672.63, 3,688.25 and 1,493.94

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Solution

The fourth proportional to 2,672.63, 3,688.25 and 1,493.94 is: 2,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.63 : 3,688.25 = 1,493.94 : x
  2. Step 2: Convert to fraction form
    2,672.63/3,688.25 = 1,493.94/x
  3. Step 3: Cross multiply
    2,672.63x = 3,688.25 × 1,493.94
  4. Step 4: Simplify right side
    2,672.63x = 5,510,016.74
  5. Step 5: Solve for x
    x = 5,510,016.74/2,672.63
  6. Step 6: Final answer
    x = 2,061.65

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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.