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Finding the Fourth Proportional to 2,542.50, 3,810.90 and 1,924.20

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Solution

The fourth proportional to 2,542.50, 3,810.90 and 1,924.20 is: 2,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.50 : 3,810.90 = 1,924.20 : x
  2. Step 2: Convert to fraction form
    2,542.50/3,810.90 = 1,924.20/x
  3. Step 3: Cross multiply
    2,542.50x = 3,810.90 × 1,924.20
  4. Step 4: Simplify right side
    2,542.50x = 7,332,933.78
  5. Step 5: Solve for x
    x = 7,332,933.78/2,542.50
  6. Step 6: Final answer
    x = 2,884.14

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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.