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Finding the Fourth Proportional to 3,044.32, 4,201.36 and 1,865.44

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Solution

The fourth proportional to 3,044.32, 4,201.36 and 1,865.44 is: 2,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.32 : 4,201.36 = 1,865.44 : x
  2. Step 2: Convert to fraction form
    3,044.32/4,201.36 = 1,865.44/x
  3. Step 3: Cross multiply
    3,044.32x = 4,201.36 × 1,865.44
  4. Step 4: Simplify right side
    3,044.32x = 7,837,385.00
  5. Step 5: Solve for x
    x = 7,837,385.00/3,044.32
  6. Step 6: Final answer
    x = 2,574.43

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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.