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Finding the Fourth Proportional to 2,344.27, 3,517.02 and 700.78

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Solution

The fourth proportional to 2,344.27, 3,517.02 and 700.78 is: 1,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.27 : 3,517.02 = 700.78 : x
  2. Step 2: Convert to fraction form
    2,344.27/3,517.02 = 700.78/x
  3. Step 3: Cross multiply
    2,344.27x = 3,517.02 × 700.78
  4. Step 4: Simplify right side
    2,344.27x = 2,464,657.28
  5. Step 5: Solve for x
    x = 2,464,657.28/2,344.27
  6. Step 6: Final answer
    x = 1,051.35

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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.