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Finding the Fourth Proportional to 2,867.40, 4,301.10 and 919.75

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Solution

The fourth proportional to 2,867.40, 4,301.10 and 919.75 is: 1,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.40 : 4,301.10 = 919.75 : x
  2. Step 2: Convert to fraction form
    2,867.40/4,301.10 = 919.75/x
  3. Step 3: Cross multiply
    2,867.40x = 4,301.10 × 919.75
  4. Step 4: Simplify right side
    2,867.40x = 3,955,936.73
  5. Step 5: Solve for x
    x = 3,955,936.73/2,867.40
  6. Step 6: Final answer
    x = 1,379.63

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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.