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Finding the Fourth Proportional to 2,115.42, 3,174.06 and 1,140.38

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Solution

The fourth proportional to 2,115.42, 3,174.06 and 1,140.38 is: 1,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.42 : 3,174.06 = 1,140.38 : x
  2. Step 2: Convert to fraction form
    2,115.42/3,174.06 = 1,140.38/x
  3. Step 3: Cross multiply
    2,115.42x = 3,174.06 × 1,140.38
  4. Step 4: Simplify right side
    2,115.42x = 3,619,634.54
  5. Step 5: Solve for x
    x = 3,619,634.54/2,115.42
  6. Step 6: Final answer
    x = 1,711.07

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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.