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Finding the Fourth Proportional to 2,999.11, 4,498.62 and 808.06

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Solution

The fourth proportional to 2,999.11, 4,498.62 and 808.06 is: 1,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.11 : 4,498.62 = 808.06 : x
  2. Step 2: Convert to fraction form
    2,999.11/4,498.62 = 808.06/x
  3. Step 3: Cross multiply
    2,999.11x = 4,498.62 × 808.06
  4. Step 4: Simplify right side
    2,999.11x = 3,635,154.88
  5. Step 5: Solve for x
    x = 3,635,154.88/2,999.11
  6. Step 6: Final answer
    x = 1,212.08

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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.