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Finding the Fourth Proportional to 2,029.91, 2,801.25 and 1,244

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Solution

The fourth proportional to 2,029.91, 2,801.25 and 1,244 is: 1,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.91 : 2,801.25 = 1,244 : x
  2. Step 2: Convert to fraction form
    2,029.91/2,801.25 = 1,244/x
  3. Step 3: Cross multiply
    2,029.91x = 2,801.25 × 1,244
  4. Step 4: Simplify right side
    2,029.91x = 3,484,755
  5. Step 5: Solve for x
    x = 3,484,755/2,029.91
  6. Step 6: Final answer
    x = 1,716.70

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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.