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Finding the Fourth Proportional to 2,442.19, 3,663.74 and 798.83

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Solution

The fourth proportional to 2,442.19, 3,663.74 and 798.83 is: 1,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.19 : 3,663.74 = 798.83 : x
  2. Step 2: Convert to fraction form
    2,442.19/3,663.74 = 798.83/x
  3. Step 3: Cross multiply
    2,442.19x = 3,663.74 × 798.83
  4. Step 4: Simplify right side
    2,442.19x = 2,926,692.27
  5. Step 5: Solve for x
    x = 2,926,692.27/2,442.19
  6. Step 6: Final answer
    x = 1,198.39

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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.