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Finding the Fourth Proportional to 2,046.72, 2,824.38 and 1,260.84

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Solution

The fourth proportional to 2,046.72, 2,824.38 and 1,260.84 is: 1,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.72 : 2,824.38 = 1,260.84 : x
  2. Step 2: Convert to fraction form
    2,046.72/2,824.38 = 1,260.84/x
  3. Step 3: Cross multiply
    2,046.72x = 2,824.38 × 1,260.84
  4. Step 4: Simplify right side
    2,046.72x = 3,561,091.28
  5. Step 5: Solve for x
    x = 3,561,091.28/2,046.72
  6. Step 6: Final answer
    x = 1,739.90

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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.