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Finding the Fourth Proportional to 3,082.70, 4,624.05 and 1,981.10

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Solution

The fourth proportional to 3,082.70, 4,624.05 and 1,981.10 is: 2,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.70 : 4,624.05 = 1,981.10 : x
  2. Step 2: Convert to fraction form
    3,082.70/4,624.05 = 1,981.10/x
  3. Step 3: Cross multiply
    3,082.70x = 4,624.05 × 1,981.10
  4. Step 4: Simplify right side
    3,082.70x = 9,160,705.46
  5. Step 5: Solve for x
    x = 9,160,705.46/3,082.70
  6. Step 6: Final answer
    x = 2,971.65

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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.