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Finding the Fourth Proportional to 2,042.89, 3,064.34 and 582.05

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Solution

The fourth proportional to 2,042.89, 3,064.34 and 582.05 is: 873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.89 : 3,064.34 = 582.05 : x
  2. Step 2: Convert to fraction form
    2,042.89/3,064.34 = 582.05/x
  3. Step 3: Cross multiply
    2,042.89x = 3,064.34 × 582.05
  4. Step 4: Simplify right side
    2,042.89x = 1,783,608.21
  5. Step 5: Solve for x
    x = 1,783,608.21/2,042.89
  6. Step 6: Final answer
    x = 873.08

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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.