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Finding the Fourth Proportional to 2,687.76, 4,011.69 and 2,315.96

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Solution

The fourth proportional to 2,687.76, 4,011.69 and 2,315.96 is: 3,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.76 : 4,011.69 = 2,315.96 : x
  2. Step 2: Convert to fraction form
    2,687.76/4,011.69 = 2,315.96/x
  3. Step 3: Cross multiply
    2,687.76x = 4,011.69 × 2,315.96
  4. Step 4: Simplify right side
    2,687.76x = 9,290,913.57
  5. Step 5: Solve for x
    x = 9,290,913.57/2,687.76
  6. Step 6: Final answer
    x = 3,456.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.