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Finding the Fourth Proportional to 2,999.24, 4,498.82 and 807.78

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Solution

The fourth proportional to 2,999.24, 4,498.82 and 807.78 is: 1,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.24 : 4,498.82 = 807.78 : x
  2. Step 2: Convert to fraction form
    2,999.24/4,498.82 = 807.78/x
  3. Step 3: Cross multiply
    2,999.24x = 4,498.82 × 807.78
  4. Step 4: Simplify right side
    2,999.24x = 3,634,056.82
  5. Step 5: Solve for x
    x = 3,634,056.82/2,999.24
  6. Step 6: Final answer
    x = 1,211.66

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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.