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Finding the Fourth Proportional to 2,542.88, 3,823.56 and 2,339.87

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Solution

The fourth proportional to 2,542.88, 3,823.56 and 2,339.87 is: 3,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.88 : 3,823.56 = 2,339.87 : x
  2. Step 2: Convert to fraction form
    2,542.88/3,823.56 = 2,339.87/x
  3. Step 3: Cross multiply
    2,542.88x = 3,823.56 × 2,339.87
  4. Step 4: Simplify right side
    2,542.88x = 8,946,614.22
  5. Step 5: Solve for x
    x = 8,946,614.22/2,542.88
  6. Step 6: Final answer
    x = 3,518.31

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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.