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Finding the Fourth Proportional to 2,044.14, 3,065.86 and 582.94

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Solution

The fourth proportional to 2,044.14, 3,065.86 and 582.94 is: 874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.14 : 3,065.86 = 582.94 : x
  2. Step 2: Convert to fraction form
    2,044.14/3,065.86 = 582.94/x
  3. Step 3: Cross multiply
    2,044.14x = 3,065.86 × 582.94
  4. Step 4: Simplify right side
    2,044.14x = 1,787,212.43
  5. Step 5: Solve for x
    x = 1,787,212.43/2,044.14
  6. Step 6: Final answer
    x = 874.31

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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.