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Finding the Fourth Proportional to 2,042.44, 3,062.74 and 581.26

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Solution

The fourth proportional to 2,042.44, 3,062.74 and 581.26 is: 871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.44 : 3,062.74 = 581.26 : x
  2. Step 2: Convert to fraction form
    2,042.44/3,062.74 = 581.26/x
  3. Step 3: Cross multiply
    2,042.44x = 3,062.74 × 581.26
  4. Step 4: Simplify right side
    2,042.44x = 1,780,248.25
  5. Step 5: Solve for x
    x = 1,780,248.25/2,042.44
  6. Step 6: Final answer
    x = 871.63

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1.5x scale

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.