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Finding the Fourth Proportional to 2,718.42, 4,078.98 and 1,076.15

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Solution

The fourth proportional to 2,718.42, 4,078.98 and 1,076.15 is: 1,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.42 : 4,078.98 = 1,076.15 : x
  2. Step 2: Convert to fraction form
    2,718.42/4,078.98 = 1,076.15/x
  3. Step 3: Cross multiply
    2,718.42x = 4,078.98 × 1,076.15
  4. Step 4: Simplify right side
    2,718.42x = 4,389,573.93
  5. Step 5: Solve for x
    x = 4,389,573.93/2,718.42
  6. Step 6: Final answer
    x = 1,614.75

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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.