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Finding the Fourth Proportional to 2,867.14, 4,297.96 and 918.07

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Solution

The fourth proportional to 2,867.14, 4,297.96 and 918.07 is: 1,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.14 : 4,297.96 = 918.07 : x
  2. Step 2: Convert to fraction form
    2,867.14/4,297.96 = 918.07/x
  3. Step 3: Cross multiply
    2,867.14x = 4,297.96 × 918.07
  4. Step 4: Simplify right side
    2,867.14x = 3,945,828.14
  5. Step 5: Solve for x
    x = 3,945,828.14/2,867.14
  6. Step 6: Final answer
    x = 1,376.22

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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.