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Finding the Fourth Proportional to 2,687.71, 4,034.28 and 1,908.58

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Solution

The fourth proportional to 2,687.71, 4,034.28 and 1,908.58 is: 2,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.71 : 4,034.28 = 1,908.58 : x
  2. Step 2: Convert to fraction form
    2,687.71/4,034.28 = 1,908.58/x
  3. Step 3: Cross multiply
    2,687.71x = 4,034.28 × 1,908.58
  4. Step 4: Simplify right side
    2,687.71x = 7,699,746.12
  5. Step 5: Solve for x
    x = 7,699,746.12/2,687.71
  6. Step 6: Final answer
    x = 2,864.80

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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.