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Finding the Fourth Proportional to 2,132.01, 3,194.49 and 2,051.01

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Solution

The fourth proportional to 2,132.01, 3,194.49 and 2,051.01 is: 3,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.01 : 3,194.49 = 2,051.01 : x
  2. Step 2: Convert to fraction form
    2,132.01/3,194.49 = 2,051.01/x
  3. Step 3: Cross multiply
    2,132.01x = 3,194.49 × 2,051.01
  4. Step 4: Simplify right side
    2,132.01x = 6,551,930.93
  5. Step 5: Solve for x
    x = 6,551,930.93/2,132.01
  6. Step 6: Final answer
    x = 3,073.12

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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.