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Finding the Fourth Proportional to 2,344.30, 3,517.16 and 700.90

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Solution

The fourth proportional to 2,344.30, 3,517.16 and 700.90 is: 1,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.30 : 3,517.16 = 700.90 : x
  2. Step 2: Convert to fraction form
    2,344.30/3,517.16 = 700.90/x
  3. Step 3: Cross multiply
    2,344.30x = 3,517.16 × 700.90
  4. Step 4: Simplify right side
    2,344.30x = 2,465,177.44
  5. Step 5: Solve for x
    x = 2,465,177.44/2,344.30
  6. Step 6: Final answer
    x = 1,051.56

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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.