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Finding the Fourth Proportional to 2,999.82, 4,499.40 and 778.68

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Solution

The fourth proportional to 2,999.82, 4,499.40 and 778.68 is: 1,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.82 : 4,499.40 = 778.68 : x
  2. Step 2: Convert to fraction form
    2,999.82/4,499.40 = 778.68/x
  3. Step 3: Cross multiply
    2,999.82x = 4,499.40 × 778.68
  4. Step 4: Simplify right side
    2,999.82x = 3,503,592.79
  5. Step 5: Solve for x
    x = 3,503,592.79/2,999.82
  6. Step 6: Final answer
    x = 1,167.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.