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Finding the Fourth Proportional to 2,042.83, 3,064.24 and 581.79

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Solution

The fourth proportional to 2,042.83, 3,064.24 and 581.79 is: 872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.83 : 3,064.24 = 581.79 : x
  2. Step 2: Convert to fraction form
    2,042.83/3,064.24 = 581.79/x
  3. Step 3: Cross multiply
    2,042.83x = 3,064.24 × 581.79
  4. Step 4: Simplify right side
    2,042.83x = 1,782,744.19
  5. Step 5: Solve for x
    x = 1,782,744.19/2,042.83
  6. Step 6: Final answer
    x = 872.68

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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.