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Finding the Fourth Proportional to 2,441.75, 3,662.61 and 592.87

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Solution

The fourth proportional to 2,441.75, 3,662.61 and 592.87 is: 889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.75 : 3,662.61 = 592.87 : x
  2. Step 2: Convert to fraction form
    2,441.75/3,662.61 = 592.87/x
  3. Step 3: Cross multiply
    2,441.75x = 3,662.61 × 592.87
  4. Step 4: Simplify right side
    2,441.75x = 2,171,453.96
  5. Step 5: Solve for x
    x = 2,171,453.96/2,441.75
  6. Step 6: Final answer
    x = 889.30

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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.