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Finding the Fourth Proportional to 3,044.13, 4,201.02 and 2,034.06

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Solution

The fourth proportional to 3,044.13, 4,201.02 and 2,034.06 is: 2,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.13 : 4,201.02 = 2,034.06 : x
  2. Step 2: Convert to fraction form
    3,044.13/4,201.02 = 2,034.06/x
  3. Step 3: Cross multiply
    3,044.13x = 4,201.02 × 2,034.06
  4. Step 4: Simplify right side
    3,044.13x = 8,545,126.74
  5. Step 5: Solve for x
    x = 8,545,126.74/3,044.13
  6. Step 6: Final answer
    x = 2,807.08

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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.