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Finding the Fourth Proportional to 2,624.25, 3,937.92 and 980.71

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Solution

The fourth proportional to 2,624.25, 3,937.92 and 980.71 is: 1,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.25 : 3,937.92 = 980.71 : x
  2. Step 2: Convert to fraction form
    2,624.25/3,937.92 = 980.71/x
  3. Step 3: Cross multiply
    2,624.25x = 3,937.92 × 980.71
  4. Step 4: Simplify right side
    2,624.25x = 3,861,944.00
  5. Step 5: Solve for x
    x = 3,861,944.00/2,624.25
  6. Step 6: Final answer
    x = 1,471.64

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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.