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Finding the Fourth Proportional to 2,805.76, 4,208.64 and 725.92

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Solution

The fourth proportional to 2,805.76, 4,208.64 and 725.92 is: 1,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.76 : 4,208.64 = 725.92 : x
  2. Step 2: Convert to fraction form
    2,805.76/4,208.64 = 725.92/x
  3. Step 3: Cross multiply
    2,805.76x = 4,208.64 × 725.92
  4. Step 4: Simplify right side
    2,805.76x = 3,055,135.95
  5. Step 5: Solve for x
    x = 3,055,135.95/2,805.76
  6. Step 6: Final answer
    x = 1,088.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.