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Finding the Fourth Proportional to 2,376.06, 3,561.26 and 914.42

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Solution

The fourth proportional to 2,376.06, 3,561.26 and 914.42 is: 1,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.06 : 3,561.26 = 914.42 : x
  2. Step 2: Convert to fraction form
    2,376.06/3,561.26 = 914.42/x
  3. Step 3: Cross multiply
    2,376.06x = 3,561.26 × 914.42
  4. Step 4: Simplify right side
    2,376.06x = 3,256,464.99
  5. Step 5: Solve for x
    x = 3,256,464.99/2,376.06
  6. Step 6: Final answer
    x = 1,370.53

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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.