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Finding the Fourth Proportional to 2,375.57, 3,563.96 and 914.84

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Solution

The fourth proportional to 2,375.57, 3,563.96 and 914.84 is: 1,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.57 : 3,563.96 = 914.84 : x
  2. Step 2: Convert to fraction form
    2,375.57/3,563.96 = 914.84/x
  3. Step 3: Cross multiply
    2,375.57x = 3,563.96 × 914.84
  4. Step 4: Simplify right side
    2,375.57x = 3,260,430.77
  5. Step 5: Solve for x
    x = 3,260,430.77/2,375.57
  6. Step 6: Final answer
    x = 1,372.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.