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Finding the Fourth Proportional to 2,718.97, 4,078.49 and 771.13

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Solution

The fourth proportional to 2,718.97, 4,078.49 and 771.13 is: 1,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.97 : 4,078.49 = 771.13 : x
  2. Step 2: Convert to fraction form
    2,718.97/4,078.49 = 771.13/x
  3. Step 3: Cross multiply
    2,718.97x = 4,078.49 × 771.13
  4. Step 4: Simplify right side
    2,718.97x = 3,145,045.99
  5. Step 5: Solve for x
    x = 3,145,045.99/2,718.97
  6. Step 6: Final answer
    x = 1,156.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.