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Finding the Fourth Proportional to 3,364.85, 5,044.77 and 2,048.87

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Solution

The fourth proportional to 3,364.85, 5,044.77 and 2,048.87 is: 3,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.85 : 5,044.77 = 2,048.87 : x
  2. Step 2: Convert to fraction form
    3,364.85/5,044.77 = 2,048.87/x
  3. Step 3: Cross multiply
    3,364.85x = 5,044.77 × 2,048.87
  4. Step 4: Simplify right side
    3,364.85x = 10,336,052.69
  5. Step 5: Solve for x
    x = 10,336,052.69/3,364.85
  6. Step 6: Final answer
    x = 3,071.78

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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.