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Finding the Fourth Proportional to 2,135.80, 3,206.40 and 1,149.40

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Solution

The fourth proportional to 2,135.80, 3,206.40 and 1,149.40 is: 1,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.80 : 3,206.40 = 1,149.40 : x
  2. Step 2: Convert to fraction form
    2,135.80/3,206.40 = 1,149.40/x
  3. Step 3: Cross multiply
    2,135.80x = 3,206.40 × 1,149.40
  4. Step 4: Simplify right side
    2,135.80x = 3,685,436.16
  5. Step 5: Solve for x
    x = 3,685,436.16/2,135.80
  6. Step 6: Final answer
    x = 1,725.55

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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.