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Finding the Fourth Proportional to 2,041.06, 3,062.03 and 742.52

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Solution

The fourth proportional to 2,041.06, 3,062.03 and 742.52 is: 1,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.06 : 3,062.03 = 742.52 : x
  2. Step 2: Convert to fraction form
    2,041.06/3,062.03 = 742.52/x
  3. Step 3: Cross multiply
    2,041.06x = 3,062.03 × 742.52
  4. Step 4: Simplify right side
    2,041.06x = 2,273,618.52
  5. Step 5: Solve for x
    x = 2,273,618.52/2,041.06
  6. Step 6: Final answer
    x = 1,113.94

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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.