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Finding the Fourth Proportional to 3,392.40, 5,086.80 and 1,201.20

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Solution

The fourth proportional to 3,392.40, 5,086.80 and 1,201.20 is: 1,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.40 : 5,086.80 = 1,201.20 : x
  2. Step 2: Convert to fraction form
    3,392.40/5,086.80 = 1,201.20/x
  3. Step 3: Cross multiply
    3,392.40x = 5,086.80 × 1,201.20
  4. Step 4: Simplify right side
    3,392.40x = 6,110,264.16
  5. Step 5: Solve for x
    x = 6,110,264.16/3,392.40
  6. Step 6: Final answer
    x = 1,801.16

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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.