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Finding the Fourth Proportional to 2,399.33, 3,597.75 and 1,099.68

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Solution

The fourth proportional to 2,399.33, 3,597.75 and 1,099.68 is: 1,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.33 : 3,597.75 = 1,099.68 : x
  2. Step 2: Convert to fraction form
    2,399.33/3,597.75 = 1,099.68/x
  3. Step 3: Cross multiply
    2,399.33x = 3,597.75 × 1,099.68
  4. Step 4: Simplify right side
    2,399.33x = 3,956,373.72
  5. Step 5: Solve for x
    x = 3,956,373.72/2,399.33
  6. Step 6: Final answer
    x = 1,648.95

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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.