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Finding the Fourth Proportional to 2,022.24, 3,031.47 and 925.50

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Solution

The fourth proportional to 2,022.24, 3,031.47 and 925.50 is: 1,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.24 : 3,031.47 = 925.50 : x
  2. Step 2: Convert to fraction form
    2,022.24/3,031.47 = 925.50/x
  3. Step 3: Cross multiply
    2,022.24x = 3,031.47 × 925.50
  4. Step 4: Simplify right side
    2,022.24x = 2,805,625.49
  5. Step 5: Solve for x
    x = 2,805,625.49/2,022.24
  6. Step 6: Final answer
    x = 1,387.39

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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.