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Finding the Fourth Proportional to 1,780.88, 2,670.84 and 806

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Solution

The fourth proportional to 1,780.88, 2,670.84 and 806 is: 1,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.88 : 2,670.84 = 806 : x
  2. Step 2: Convert to fraction form
    1,780.88/2,670.84 = 806/x
  3. Step 3: Cross multiply
    1,780.88x = 2,670.84 × 806
  4. Step 4: Simplify right side
    1,780.88x = 2,152,697.04
  5. Step 5: Solve for x
    x = 2,152,697.04/1,780.88
  6. Step 6: Final answer
    x = 1,208.78

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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.