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Finding the Fourth Proportional to 2,793.60, 3,854.47 and 1,582.30

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Solution

The fourth proportional to 2,793.60, 3,854.47 and 1,582.30 is: 2,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.60 : 3,854.47 = 1,582.30 : x
  2. Step 2: Convert to fraction form
    2,793.60/3,854.47 = 1,582.30/x
  3. Step 3: Cross multiply
    2,793.60x = 3,854.47 × 1,582.30
  4. Step 4: Simplify right side
    2,793.60x = 6,098,920.22
  5. Step 5: Solve for x
    x = 6,098,920.22/2,793.60
  6. Step 6: Final answer
    x = 2,183.18

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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.