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Finding the Fourth Proportional to 2,287.14, 3,154.05 and 2,040.90

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Solution

The fourth proportional to 2,287.14, 3,154.05 and 2,040.90 is: 2,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.14 : 3,154.05 = 2,040.90 : x
  2. Step 2: Convert to fraction form
    2,287.14/3,154.05 = 2,040.90/x
  3. Step 3: Cross multiply
    2,287.14x = 3,154.05 × 2,040.90
  4. Step 4: Simplify right side
    2,287.14x = 6,437,100.65
  5. Step 5: Solve for x
    x = 6,437,100.65/2,287.14
  6. Step 6: Final answer
    x = 2,814.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.