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Finding the Fourth Proportional to 2,031.95, 3,049.06 and 991.97

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Solution

The fourth proportional to 2,031.95, 3,049.06 and 991.97 is: 1,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.95 : 3,049.06 = 991.97 : x
  2. Step 2: Convert to fraction form
    2,031.95/3,049.06 = 991.97/x
  3. Step 3: Cross multiply
    2,031.95x = 3,049.06 × 991.97
  4. Step 4: Simplify right side
    2,031.95x = 3,024,555.84
  5. Step 5: Solve for x
    x = 3,024,555.84/2,031.95
  6. Step 6: Final answer
    x = 1,488.50

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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.