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Finding the Fourth Proportional to 2,357.75, 3,540.27 and 2,142.69

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Solution

The fourth proportional to 2,357.75, 3,540.27 and 2,142.69 is: 3,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.75 : 3,540.27 = 2,142.69 : x
  2. Step 2: Convert to fraction form
    2,357.75/3,540.27 = 2,142.69/x
  3. Step 3: Cross multiply
    2,357.75x = 3,540.27 × 2,142.69
  4. Step 4: Simplify right side
    2,357.75x = 7,585,701.13
  5. Step 5: Solve for x
    x = 7,585,701.13/2,357.75
  6. Step 6: Final answer
    x = 3,217.35

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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.