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Finding the Fourth Proportional to 2,999.97, 4,499.87 and 808.83

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Solution

The fourth proportional to 2,999.97, 4,499.87 and 808.83 is: 1,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.97 : 4,499.87 = 808.83 : x
  2. Step 2: Convert to fraction form
    2,999.97/4,499.87 = 808.83/x
  3. Step 3: Cross multiply
    2,999.97x = 4,499.87 × 808.83
  4. Step 4: Simplify right side
    2,999.97x = 3,639,625.81
  5. Step 5: Solve for x
    x = 3,639,625.81/2,999.97
  6. Step 6: Final answer
    x = 1,213.22

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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.