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Finding the Fourth Proportional to 2,858.97, 4,282.36 and 1,687.71

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Solution

The fourth proportional to 2,858.97, 4,282.36 and 1,687.71 is: 2,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.97 : 4,282.36 = 1,687.71 : x
  2. Step 2: Convert to fraction form
    2,858.97/4,282.36 = 1,687.71/x
  3. Step 3: Cross multiply
    2,858.97x = 4,282.36 × 1,687.71
  4. Step 4: Simplify right side
    2,858.97x = 7,227,381.80
  5. Step 5: Solve for x
    x = 7,227,381.80/2,858.97
  6. Step 6: Final answer
    x = 2,527.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.