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Finding the Fourth Proportional to 2,277.54, 3,398.46 and 2,138.22

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Solution

The fourth proportional to 2,277.54, 3,398.46 and 2,138.22 is: 3,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.54 : 3,398.46 = 2,138.22 : x
  2. Step 2: Convert to fraction form
    2,277.54/3,398.46 = 2,138.22/x
  3. Step 3: Cross multiply
    2,277.54x = 3,398.46 × 2,138.22
  4. Step 4: Simplify right side
    2,277.54x = 7,266,655.14
  5. Step 5: Solve for x
    x = 7,266,655.14/2,277.54
  6. Step 6: Final answer
    x = 3,190.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.