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Finding the Fourth Proportional to 2,582.46, 3,873.31 and 733.73

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Solution

The fourth proportional to 2,582.46, 3,873.31 and 733.73 is: 1,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.46 : 3,873.31 = 733.73 : x
  2. Step 2: Convert to fraction form
    2,582.46/3,873.31 = 733.73/x
  3. Step 3: Cross multiply
    2,582.46x = 3,873.31 × 733.73
  4. Step 4: Simplify right side
    2,582.46x = 2,841,963.75
  5. Step 5: Solve for x
    x = 2,841,963.75/2,582.46
  6. Step 6: Final answer
    x = 1,100.49

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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.