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Finding the Fourth Proportional to 2,471.84, 3,404.93 and 2,222.76

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Solution

The fourth proportional to 2,471.84, 3,404.93 and 2,222.76 is: 3,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.84 : 3,404.93 = 2,222.76 : x
  2. Step 2: Convert to fraction form
    2,471.84/3,404.93 = 2,222.76/x
  3. Step 3: Cross multiply
    2,471.84x = 3,404.93 × 2,222.76
  4. Step 4: Simplify right side
    2,471.84x = 7,568,342.21
  5. Step 5: Solve for x
    x = 7,568,342.21/2,471.84
  6. Step 6: Final answer
    x = 3,061.83

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.