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Finding the Fourth Proportional to 2,767.89, 4,151.70 and 918.93

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Solution

The fourth proportional to 2,767.89, 4,151.70 and 918.93 is: 1,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.89 : 4,151.70 = 918.93 : x
  2. Step 2: Convert to fraction form
    2,767.89/4,151.70 = 918.93/x
  3. Step 3: Cross multiply
    2,767.89x = 4,151.70 × 918.93
  4. Step 4: Simplify right side
    2,767.89x = 3,815,121.68
  5. Step 5: Solve for x
    x = 3,815,121.68/2,767.89
  6. Step 6: Final answer
    x = 1,378.35

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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.