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Finding the Fourth Proportional to 2,133.81, 3,197.41 and 1,438.02

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Solution

The fourth proportional to 2,133.81, 3,197.41 and 1,438.02 is: 2,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.81 : 3,197.41 = 1,438.02 : x
  2. Step 2: Convert to fraction form
    2,133.81/3,197.41 = 1,438.02/x
  3. Step 3: Cross multiply
    2,133.81x = 3,197.41 × 1,438.02
  4. Step 4: Simplify right side
    2,133.81x = 4,597,935.93
  5. Step 5: Solve for x
    x = 4,597,935.93/2,133.81
  6. Step 6: Final answer
    x = 2,154.80

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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.