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Finding the Fourth Proportional to 2,047.32, 2,824.08 and 1,260.78

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Solution

The fourth proportional to 2,047.32, 2,824.08 and 1,260.78 is: 1,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.32 : 2,824.08 = 1,260.78 : x
  2. Step 2: Convert to fraction form
    2,047.32/2,824.08 = 1,260.78/x
  3. Step 3: Cross multiply
    2,047.32x = 2,824.08 × 1,260.78
  4. Step 4: Simplify right side
    2,047.32x = 3,560,543.58
  5. Step 5: Solve for x
    x = 3,560,543.58/2,047.32
  6. Step 6: Final answer
    x = 1,739.12

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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.