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Finding the Fourth Proportional to 2,648.52, 3,965.22 and 2,101.50

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Solution

The fourth proportional to 2,648.52, 3,965.22 and 2,101.50 is: 3,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.52 : 3,965.22 = 2,101.50 : x
  2. Step 2: Convert to fraction form
    2,648.52/3,965.22 = 2,101.50/x
  3. Step 3: Cross multiply
    2,648.52x = 3,965.22 × 2,101.50
  4. Step 4: Simplify right side
    2,648.52x = 8,332,909.83
  5. Step 5: Solve for x
    x = 8,332,909.83/2,648.52
  6. Step 6: Final answer
    x = 3,146.25

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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.