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Finding the Fourth Proportional to 2,153.94, 3,231.14 and 767.42

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Solution

The fourth proportional to 2,153.94, 3,231.14 and 767.42 is: 1,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.94 : 3,231.14 = 767.42 : x
  2. Step 2: Convert to fraction form
    2,153.94/3,231.14 = 767.42/x
  3. Step 3: Cross multiply
    2,153.94x = 3,231.14 × 767.42
  4. Step 4: Simplify right side
    2,153.94x = 2,479,656.07
  5. Step 5: Solve for x
    x = 2,479,656.07/2,153.94
  6. Step 6: Final answer
    x = 1,151.22

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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.