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Finding the Fourth Proportional to 2,129.63, 3,196.26 and 832.01

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Solution

The fourth proportional to 2,129.63, 3,196.26 and 832.01 is: 1,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.63 : 3,196.26 = 832.01 : x
  2. Step 2: Convert to fraction form
    2,129.63/3,196.26 = 832.01/x
  3. Step 3: Cross multiply
    2,129.63x = 3,196.26 × 832.01
  4. Step 4: Simplify right side
    2,129.63x = 2,659,304.30
  5. Step 5: Solve for x
    x = 2,659,304.30/2,129.63
  6. Step 6: Final answer
    x = 1,248.72

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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.