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Finding the Fourth Proportional to 2,002.32, 2,770.20 and 1,652.40

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Solution

The fourth proportional to 2,002.32, 2,770.20 and 1,652.40 is: 2,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.32 : 2,770.20 = 1,652.40 : x
  2. Step 2: Convert to fraction form
    2,002.32/2,770.20 = 1,652.40/x
  3. Step 3: Cross multiply
    2,002.32x = 2,770.20 × 1,652.40
  4. Step 4: Simplify right side
    2,002.32x = 4,577,478.48
  5. Step 5: Solve for x
    x = 4,577,478.48/2,002.32
  6. Step 6: Final answer
    x = 2,286.09

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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.