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Finding the Fourth Proportional to 2,193.05, 3,291.60 and 1,098.20

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Solution

The fourth proportional to 2,193.05, 3,291.60 and 1,098.20 is: 1,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.05 : 3,291.60 = 1,098.20 : x
  2. Step 2: Convert to fraction form
    2,193.05/3,291.60 = 1,098.20/x
  3. Step 3: Cross multiply
    2,193.05x = 3,291.60 × 1,098.20
  4. Step 4: Simplify right side
    2,193.05x = 3,614,835.12
  5. Step 5: Solve for x
    x = 3,614,835.12/2,193.05
  6. Step 6: Final answer
    x = 1,648.31

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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.