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Finding the Fourth Proportional to 2,203.41, 3,034.69 and 2,044.86

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Solution

The fourth proportional to 2,203.41, 3,034.69 and 2,044.86 is: 2,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.41 : 3,034.69 = 2,044.86 : x
  2. Step 2: Convert to fraction form
    2,203.41/3,034.69 = 2,044.86/x
  3. Step 3: Cross multiply
    2,203.41x = 3,034.69 × 2,044.86
  4. Step 4: Simplify right side
    2,203.41x = 6,205,516.19
  5. Step 5: Solve for x
    x = 6,205,516.19/2,203.41
  6. Step 6: Final answer
    x = 2,816.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.