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Finding the Fourth Proportional to 2,132.13, 3,200.01 and 834.51

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Solution

The fourth proportional to 2,132.13, 3,200.01 and 834.51 is: 1,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.13 : 3,200.01 = 834.51 : x
  2. Step 2: Convert to fraction form
    2,132.13/3,200.01 = 834.51/x
  3. Step 3: Cross multiply
    2,132.13x = 3,200.01 × 834.51
  4. Step 4: Simplify right side
    2,132.13x = 2,670,440.35
  5. Step 5: Solve for x
    x = 2,670,440.35/2,132.13
  6. Step 6: Final answer
    x = 1,252.48

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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.