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Finding the Fourth Proportional to 2,129.52, 3,194.00 and 742.74

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Solution

The fourth proportional to 2,129.52, 3,194.00 and 742.74 is: 1,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.52 : 3,194.00 = 742.74 : x
  2. Step 2: Convert to fraction form
    2,129.52/3,194.00 = 742.74/x
  3. Step 3: Cross multiply
    2,129.52x = 3,194.00 × 742.74
  4. Step 4: Simplify right side
    2,129.52x = 2,372,298.65
  5. Step 5: Solve for x
    x = 2,372,298.65/2,129.52
  6. Step 6: Final answer
    x = 1,114.00

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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.