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Finding the Fourth Proportional to 2,152.67, 3,226.94 and 918.38

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Solution

The fourth proportional to 2,152.67, 3,226.94 and 918.38 is: 1,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.67 : 3,226.94 = 918.38 : x
  2. Step 2: Convert to fraction form
    2,152.67/3,226.94 = 918.38/x
  3. Step 3: Cross multiply
    2,152.67x = 3,226.94 × 918.38
  4. Step 4: Simplify right side
    2,152.67x = 2,963,536.43
  5. Step 5: Solve for x
    x = 2,963,536.43/2,152.67
  6. Step 6: Final answer
    x = 1,376.68

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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.