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Finding the Fourth Proportional to 1,648.40, 2,472.44 and 998.96

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Solution

The fourth proportional to 1,648.40, 2,472.44 and 998.96 is: 1,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.40 : 2,472.44 = 998.96 : x
  2. Step 2: Convert to fraction form
    1,648.40/2,472.44 = 998.96/x
  3. Step 3: Cross multiply
    1,648.40x = 2,472.44 × 998.96
  4. Step 4: Simplify right side
    1,648.40x = 2,469,868.66
  5. Step 5: Solve for x
    x = 2,469,868.66/1,648.40
  6. Step 6: Final answer
    x = 1,498.34

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1.5x scale

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.