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Finding the Fourth Proportional to 2,097.87, 3,147.54 and 1,174.22

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Solution

The fourth proportional to 2,097.87, 3,147.54 and 1,174.22 is: 1,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.87 : 3,147.54 = 1,174.22 : x
  2. Step 2: Convert to fraction form
    2,097.87/3,147.54 = 1,174.22/x
  3. Step 3: Cross multiply
    2,097.87x = 3,147.54 × 1,174.22
  4. Step 4: Simplify right side
    2,097.87x = 3,695,904.42
  5. Step 5: Solve for x
    x = 3,695,904.42/2,097.87
  6. Step 6: Final answer
    x = 1,761.74

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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.