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Finding the Fourth Proportional to 2,767.41, 4,152.33 and 918.81

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Solution

The fourth proportional to 2,767.41, 4,152.33 and 918.81 is: 1,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.41 : 4,152.33 = 918.81 : x
  2. Step 2: Convert to fraction form
    2,767.41/4,152.33 = 918.81/x
  3. Step 3: Cross multiply
    2,767.41x = 4,152.33 × 918.81
  4. Step 4: Simplify right side
    2,767.41x = 3,815,202.33
  5. Step 5: Solve for x
    x = 3,815,202.33/2,767.41
  6. Step 6: Final answer
    x = 1,378.62

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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.