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Finding the Fourth Proportional to 2,663.80, 3,995.70 and 1,687.78

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Solution

The fourth proportional to 2,663.80, 3,995.70 and 1,687.78 is: 2,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.80 : 3,995.70 = 1,687.78 : x
  2. Step 2: Convert to fraction form
    2,663.80/3,995.70 = 1,687.78/x
  3. Step 3: Cross multiply
    2,663.80x = 3,995.70 × 1,687.78
  4. Step 4: Simplify right side
    2,663.80x = 6,743,862.55
  5. Step 5: Solve for x
    x = 6,743,862.55/2,663.80
  6. Step 6: Final answer
    x = 2,531.67

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Similar ratio
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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.