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Finding the Fourth Proportional to 2,471.58, 3,706.05 and 827.58

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Solution

The fourth proportional to 2,471.58, 3,706.05 and 827.58 is: 1,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.58 : 3,706.05 = 827.58 : x
  2. Step 2: Convert to fraction form
    2,471.58/3,706.05 = 827.58/x
  3. Step 3: Cross multiply
    2,471.58x = 3,706.05 × 827.58
  4. Step 4: Simplify right side
    2,471.58x = 3,067,069.86
  5. Step 5: Solve for x
    x = 3,067,069.86/2,471.58
  6. Step 6: Final answer
    x = 1,240.93

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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.