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Finding the Fourth Proportional to 2,179.57, 3,005.76 and 1,681.42

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Solution

The fourth proportional to 2,179.57, 3,005.76 and 1,681.42 is: 2,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.57 : 3,005.76 = 1,681.42 : x
  2. Step 2: Convert to fraction form
    2,179.57/3,005.76 = 1,681.42/x
  3. Step 3: Cross multiply
    2,179.57x = 3,005.76 × 1,681.42
  4. Step 4: Simplify right side
    2,179.57x = 5,053,944.98
  5. Step 5: Solve for x
    x = 5,053,944.98/2,179.57
  6. Step 6: Final answer
    x = 2,318.78

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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.