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Finding the Fourth Proportional to 2,869.44, 3,961.44 and 2,693.76

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Solution

The fourth proportional to 2,869.44, 3,961.44 and 2,693.76 is: 3,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.44 : 3,961.44 = 2,693.76 : x
  2. Step 2: Convert to fraction form
    2,869.44/3,961.44 = 2,693.76/x
  3. Step 3: Cross multiply
    2,869.44x = 3,961.44 × 2,693.76
  4. Step 4: Simplify right side
    2,869.44x = 10,671,168.61
  5. Step 5: Solve for x
    x = 10,671,168.61/2,869.44
  6. Step 6: Final answer
    x = 3,718.90

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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.