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Finding the Fourth Proportional to 2,721.66, 4,082.89 and 989.88

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Solution

The fourth proportional to 2,721.66, 4,082.89 and 989.88 is: 1,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.66 : 4,082.89 = 989.88 : x
  2. Step 2: Convert to fraction form
    2,721.66/4,082.89 = 989.88/x
  3. Step 3: Cross multiply
    2,721.66x = 4,082.89 × 989.88
  4. Step 4: Simplify right side
    2,721.66x = 4,041,571.15
  5. Step 5: Solve for x
    x = 4,041,571.15/2,721.66
  6. Step 6: Final answer
    x = 1,484.97

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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.