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Finding the Fourth Proportional to 2,133.27, 3,197.61 and 1,035.19

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Solution

The fourth proportional to 2,133.27, 3,197.61 and 1,035.19 is: 1,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.27 : 3,197.61 = 1,035.19 : x
  2. Step 2: Convert to fraction form
    2,133.27/3,197.61 = 1,035.19/x
  3. Step 3: Cross multiply
    2,133.27x = 3,197.61 × 1,035.19
  4. Step 4: Simplify right side
    2,133.27x = 3,310,128.72
  5. Step 5: Solve for x
    x = 3,310,128.72/2,133.27
  6. Step 6: Final answer
    x = 1,551.67

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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.