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Finding the Fourth Proportional to 3,201.14, 4,801.80 and 980.02

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Solution

The fourth proportional to 3,201.14, 4,801.80 and 980.02 is: 1,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.14 : 4,801.80 = 980.02 : x
  2. Step 2: Convert to fraction form
    3,201.14/4,801.80 = 980.02/x
  3. Step 3: Cross multiply
    3,201.14x = 4,801.80 × 980.02
  4. Step 4: Simplify right side
    3,201.14x = 4,705,860.04
  5. Step 5: Solve for x
    x = 4,705,860.04/3,201.14
  6. Step 6: Final answer
    x = 1,470.06

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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.