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Finding the Fourth Proportional to 2,134.73, 3,197.77 and 1,106.57

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Solution

The fourth proportional to 2,134.73, 3,197.77 and 1,106.57 is: 1,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.73 : 3,197.77 = 1,106.57 : x
  2. Step 2: Convert to fraction form
    2,134.73/3,197.77 = 1,106.57/x
  3. Step 3: Cross multiply
    2,134.73x = 3,197.77 × 1,106.57
  4. Step 4: Simplify right side
    2,134.73x = 3,538,534.83
  5. Step 5: Solve for x
    x = 3,538,534.83/2,134.73
  6. Step 6: Final answer
    x = 1,657.61

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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.