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Finding the Fourth Proportional to 2,718.14, 4,078.82 and 986.90

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Solution

The fourth proportional to 2,718.14, 4,078.82 and 986.90 is: 1,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.14 : 4,078.82 = 986.90 : x
  2. Step 2: Convert to fraction form
    2,718.14/4,078.82 = 986.90/x
  3. Step 3: Cross multiply
    2,718.14x = 4,078.82 × 986.90
  4. Step 4: Simplify right side
    2,718.14x = 4,025,369.53
  5. Step 5: Solve for x
    x = 4,025,369.53/2,718.14
  6. Step 6: Final answer
    x = 1,480.93

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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.