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Finding the Fourth Proportional to 2,670.44, 4,006.22 and 914.97

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Solution

The fourth proportional to 2,670.44, 4,006.22 and 914.97 is: 1,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.44 : 4,006.22 = 914.97 : x
  2. Step 2: Convert to fraction form
    2,670.44/4,006.22 = 914.97/x
  3. Step 3: Cross multiply
    2,670.44x = 4,006.22 × 914.97
  4. Step 4: Simplify right side
    2,670.44x = 3,665,561.10
  5. Step 5: Solve for x
    x = 3,665,561.10/2,670.44
  6. Step 6: Final answer
    x = 1,372.65

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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.