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Finding the Fourth Proportional to 2,809.80, 4,214.53 and 862

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Solution

The fourth proportional to 2,809.80, 4,214.53 and 862 is: 1,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.80 : 4,214.53 = 862 : x
  2. Step 2: Convert to fraction form
    2,809.80/4,214.53 = 862/x
  3. Step 3: Cross multiply
    2,809.80x = 4,214.53 × 862
  4. Step 4: Simplify right side
    2,809.80x = 3,632,924.86
  5. Step 5: Solve for x
    x = 3,632,924.86/2,809.80
  6. Step 6: Final answer
    x = 1,292.95

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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.