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Finding the Fourth Proportional to 2,718.84, 4,078.46 and 771.19

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Solution

The fourth proportional to 2,718.84, 4,078.46 and 771.19 is: 1,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.84 : 4,078.46 = 771.19 : x
  2. Step 2: Convert to fraction form
    2,718.84/4,078.46 = 771.19/x
  3. Step 3: Cross multiply
    2,718.84x = 4,078.46 × 771.19
  4. Step 4: Simplify right side
    2,718.84x = 3,145,267.57
  5. Step 5: Solve for x
    x = 3,145,267.57/2,718.84
  6. Step 6: Final answer
    x = 1,156.84

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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.