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Finding the Fourth Proportional to 2,687.17, 4,032.14 and 1,952.84

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Solution

The fourth proportional to 2,687.17, 4,032.14 and 1,952.84 is: 2,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.17 : 4,032.14 = 1,952.84 : x
  2. Step 2: Convert to fraction form
    2,687.17/4,032.14 = 1,952.84/x
  3. Step 3: Cross multiply
    2,687.17x = 4,032.14 × 1,952.84
  4. Step 4: Simplify right side
    2,687.17x = 7,874,109.00
  5. Step 5: Solve for x
    x = 7,874,109.00/2,687.17
  6. Step 6: Final answer
    x = 2,930.26

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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.