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Finding the Fourth Proportional to 2,582.30, 3,873.45 and 733.43

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Solution

The fourth proportional to 2,582.30, 3,873.45 and 733.43 is: 1,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.30 : 3,873.45 = 733.43 : x
  2. Step 2: Convert to fraction form
    2,582.30/3,873.45 = 733.43/x
  3. Step 3: Cross multiply
    2,582.30x = 3,873.45 × 733.43
  4. Step 4: Simplify right side
    2,582.30x = 2,840,914.12
  5. Step 5: Solve for x
    x = 2,840,914.12/2,582.30
  6. Step 6: Final answer
    x = 1,100.15

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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.