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Finding the Fourth Proportional to 2,042.19, 3,062.91 and 581.40

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Solution

The fourth proportional to 2,042.19, 3,062.91 and 581.40 is: 871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.19 : 3,062.91 = 581.40 : x
  2. Step 2: Convert to fraction form
    2,042.19/3,062.91 = 581.40/x
  3. Step 3: Cross multiply
    2,042.19x = 3,062.91 × 581.40
  4. Step 4: Simplify right side
    2,042.19x = 1,780,775.87
  5. Step 5: Solve for x
    x = 1,780,775.87/2,042.19
  6. Step 6: Final answer
    x = 871.99

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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.