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Finding the Fourth Proportional to 2,042.46, 3,064.20 and 581.60

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Solution

The fourth proportional to 2,042.46, 3,064.20 and 581.60 is: 872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.46 : 3,064.20 = 581.60 : x
  2. Step 2: Convert to fraction form
    2,042.46/3,064.20 = 581.60/x
  3. Step 3: Cross multiply
    2,042.46x = 3,064.20 × 581.60
  4. Step 4: Simplify right side
    2,042.46x = 1,782,146.38
  5. Step 5: Solve for x
    x = 1,782,146.38/2,042.46
  6. Step 6: Final answer
    x = 872.55

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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.