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Finding the Fourth Proportional to 2,375.65, 3,563.62 and 914.81

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Solution

The fourth proportional to 2,375.65, 3,563.62 and 914.81 is: 1,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.65 : 3,563.62 = 914.81 : x
  2. Step 2: Convert to fraction form
    2,375.65/3,563.62 = 914.81/x
  3. Step 3: Cross multiply
    2,375.65x = 3,563.62 × 914.81
  4. Step 4: Simplify right side
    2,375.65x = 3,260,015.11
  5. Step 5: Solve for x
    x = 3,260,015.11/2,375.65
  6. Step 6: Final answer
    x = 1,372.26

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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.