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Finding the Fourth Proportional to 2,582.73, 3,874.24 and 733.70

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Solution

The fourth proportional to 2,582.73, 3,874.24 and 733.70 is: 1,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.73 : 3,874.24 = 733.70 : x
  2. Step 2: Convert to fraction form
    2,582.73/3,874.24 = 733.70/x
  3. Step 3: Cross multiply
    2,582.73x = 3,874.24 × 733.70
  4. Step 4: Simplify right side
    2,582.73x = 2,842,529.89
  5. Step 5: Solve for x
    x = 2,842,529.89/2,582.73
  6. Step 6: Final answer
    x = 1,100.59

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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.