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Finding the Fourth Proportional to 2,657.98, 3,987.10 and 809.16

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Solution

The fourth proportional to 2,657.98, 3,987.10 and 809.16 is: 1,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.98 : 3,987.10 = 809.16 : x
  2. Step 2: Convert to fraction form
    2,657.98/3,987.10 = 809.16/x
  3. Step 3: Cross multiply
    2,657.98x = 3,987.10 × 809.16
  4. Step 4: Simplify right side
    2,657.98x = 3,226,201.84
  5. Step 5: Solve for x
    x = 3,226,201.84/2,657.98
  6. Step 6: Final answer
    x = 1,213.78

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1.5x scale

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.