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Finding the Fourth Proportional to 2,538, 3,797.78 and 2,095.14

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Solution

The fourth proportional to 2,538, 3,797.78 and 2,095.14 is: 3,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538 : 3,797.78 = 2,095.14 : x
  2. Step 2: Convert to fraction form
    2,538/3,797.78 = 2,095.14/x
  3. Step 3: Cross multiply
    2,538x = 3,797.78 × 2,095.14
  4. Step 4: Simplify right side
    2,538x = 7,956,851.32
  5. Step 5: Solve for x
    x = 7,956,851.32/2,538
  6. Step 6: Final answer
    x = 3,135.09

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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.