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Finding the Fourth Proportional to 2,042.45, 3,062.75 and 581.25

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Solution

The fourth proportional to 2,042.45, 3,062.75 and 581.25 is: 871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.45 : 3,062.75 = 581.25 : x
  2. Step 2: Convert to fraction form
    2,042.45/3,062.75 = 581.25/x
  3. Step 3: Cross multiply
    2,042.45x = 3,062.75 × 581.25
  4. Step 4: Simplify right side
    2,042.45x = 1,780,223.44
  5. Step 5: Solve for x
    x = 1,780,223.44/2,042.45
  6. Step 6: Final answer
    x = 871.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.