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Finding the Fourth Proportional to 2,374.89, 3,563.11 and 914.05

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Solution

The fourth proportional to 2,374.89, 3,563.11 and 914.05 is: 1,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.89 : 3,563.11 = 914.05 : x
  2. Step 2: Convert to fraction form
    2,374.89/3,563.11 = 914.05/x
  3. Step 3: Cross multiply
    2,374.89x = 3,563.11 × 914.05
  4. Step 4: Simplify right side
    2,374.89x = 3,256,861.15
  5. Step 5: Solve for x
    x = 3,256,861.15/2,374.89
  6. Step 6: Final answer
    x = 1,371.38

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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.