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Finding the Fourth Proportional to 2,950.52, 4,422.90 and 1,649.30

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Solution

The fourth proportional to 2,950.52, 4,422.90 and 1,649.30 is: 2,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.52 : 4,422.90 = 1,649.30 : x
  2. Step 2: Convert to fraction form
    2,950.52/4,422.90 = 1,649.30/x
  3. Step 3: Cross multiply
    2,950.52x = 4,422.90 × 1,649.30
  4. Step 4: Simplify right side
    2,950.52x = 7,294,688.97
  5. Step 5: Solve for x
    x = 7,294,688.97/2,950.52
  6. Step 6: Final answer
    x = 2,472.34

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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.