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Finding the Fourth Proportional to 2,729.84, 4,094.15 and 781.58

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Solution

The fourth proportional to 2,729.84, 4,094.15 and 781.58 is: 1,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.84 : 4,094.15 = 781.58 : x
  2. Step 2: Convert to fraction form
    2,729.84/4,094.15 = 781.58/x
  3. Step 3: Cross multiply
    2,729.84x = 4,094.15 × 781.58
  4. Step 4: Simplify right side
    2,729.84x = 3,199,912.08
  5. Step 5: Solve for x
    x = 3,199,912.08/2,729.84
  6. Step 6: Final answer
    x = 1,172.20

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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.