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Finding the Fourth Proportional to 2,286.90, 3,437.55 and 2,114.10

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Solution

The fourth proportional to 2,286.90, 3,437.55 and 2,114.10 is: 3,177.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.90 : 3,437.55 = 2,114.10 : x
  2. Step 2: Convert to fraction form
    2,286.90/3,437.55 = 2,114.10/x
  3. Step 3: Cross multiply
    2,286.90x = 3,437.55 × 2,114.10
  4. Step 4: Simplify right side
    2,286.90x = 7,267,324.46
  5. Step 5: Solve for x
    x = 7,267,324.46/2,286.90
  6. Step 6: Final answer
    x = 3,177.81

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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.