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Finding the Fourth Proportional to 2,330.60, 3,216.42 and 1,282.80

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Solution

The fourth proportional to 2,330.60, 3,216.42 and 1,282.80 is: 1,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.60 : 3,216.42 = 1,282.80 : x
  2. Step 2: Convert to fraction form
    2,330.60/3,216.42 = 1,282.80/x
  3. Step 3: Cross multiply
    2,330.60x = 3,216.42 × 1,282.80
  4. Step 4: Simplify right side
    2,330.60x = 4,126,023.58
  5. Step 5: Solve for x
    x = 4,126,023.58/2,330.60
  6. Step 6: Final answer
    x = 1,770.37

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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.