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Finding the Fourth Proportional to 2,869.84, 3,960.44 and 1,691.20

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Solution

The fourth proportional to 2,869.84, 3,960.44 and 1,691.20 is: 2,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.84 : 3,960.44 = 1,691.20 : x
  2. Step 2: Convert to fraction form
    2,869.84/3,960.44 = 1,691.20/x
  3. Step 3: Cross multiply
    2,869.84x = 3,960.44 × 1,691.20
  4. Step 4: Simplify right side
    2,869.84x = 6,697,896.13
  5. Step 5: Solve for x
    x = 6,697,896.13/2,869.84
  6. Step 6: Final answer
    x = 2,333.89

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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.