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Finding the Fourth Proportional to 3,013.68, 4,155 and 1,949.57

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Solution

The fourth proportional to 3,013.68, 4,155 and 1,949.57 is: 2,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.68 : 4,155 = 1,949.57 : x
  2. Step 2: Convert to fraction form
    3,013.68/4,155 = 1,949.57/x
  3. Step 3: Cross multiply
    3,013.68x = 4,155 × 1,949.57
  4. Step 4: Simplify right side
    3,013.68x = 8,100,463.35
  5. Step 5: Solve for x
    x = 8,100,463.35/3,013.68
  6. Step 6: Final answer
    x = 2,687.90

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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.