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Finding the Fourth Proportional to 2,042.76, 3,064.17 and 581.92

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Solution

The fourth proportional to 2,042.76, 3,064.17 and 581.92 is: 872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.76 : 3,064.17 = 581.92 : x
  2. Step 2: Convert to fraction form
    2,042.76/3,064.17 = 581.92/x
  3. Step 3: Cross multiply
    2,042.76x = 3,064.17 × 581.92
  4. Step 4: Simplify right side
    2,042.76x = 1,783,101.81
  5. Step 5: Solve for x
    x = 1,783,101.81/2,042.76
  6. Step 6: Final answer
    x = 872.89

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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.