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Finding the Fourth Proportional to 2,044.22, 2,821.88 and 1,381.97

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Solution

The fourth proportional to 2,044.22, 2,821.88 and 1,381.97 is: 1,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.22 : 2,821.88 = 1,381.97 : x
  2. Step 2: Convert to fraction form
    2,044.22/2,821.88 = 1,381.97/x
  3. Step 3: Cross multiply
    2,044.22x = 2,821.88 × 1,381.97
  4. Step 4: Simplify right side
    2,044.22x = 3,899,755.16
  5. Step 5: Solve for x
    x = 3,899,755.16/2,044.22
  6. Step 6: Final answer
    x = 1,907.70

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1.5x scale

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.