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Finding the Fourth Proportional to 2,133.90, 3,197.61 and 1,037.97

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Solution

The fourth proportional to 2,133.90, 3,197.61 and 1,037.97 is: 1,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.90 : 3,197.61 = 1,037.97 : x
  2. Step 2: Convert to fraction form
    2,133.90/3,197.61 = 1,037.97/x
  3. Step 3: Cross multiply
    2,133.90x = 3,197.61 × 1,037.97
  4. Step 4: Simplify right side
    2,133.90x = 3,319,023.25
  5. Step 5: Solve for x
    x = 3,319,023.25/2,133.90
  6. Step 6: Final answer
    x = 1,555.38

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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.