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Finding the Fourth Proportional to 2,073.28, 3,109.01 and 1,099.16

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Solution

The fourth proportional to 2,073.28, 3,109.01 and 1,099.16 is: 1,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.28 : 3,109.01 = 1,099.16 : x
  2. Step 2: Convert to fraction form
    2,073.28/3,109.01 = 1,099.16/x
  3. Step 3: Cross multiply
    2,073.28x = 3,109.01 × 1,099.16
  4. Step 4: Simplify right side
    2,073.28x = 3,417,299.43
  5. Step 5: Solve for x
    x = 3,417,299.43/2,073.28
  6. Step 6: Final answer
    x = 1,648.26

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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.