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Finding the Fourth Proportional to 2,269.44, 3,402.63 and 1,098.09

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Solution

The fourth proportional to 2,269.44, 3,402.63 and 1,098.09 is: 1,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.44 : 3,402.63 = 1,098.09 : x
  2. Step 2: Convert to fraction form
    2,269.44/3,402.63 = 1,098.09/x
  3. Step 3: Cross multiply
    2,269.44x = 3,402.63 × 1,098.09
  4. Step 4: Simplify right side
    2,269.44x = 3,736,393.98
  5. Step 5: Solve for x
    x = 3,736,393.98/2,269.44
  6. Step 6: Final answer
    x = 1,646.39

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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.