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Finding the Fourth Proportional to 2,441.64, 3,662.07 and 709.86

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Solution

The fourth proportional to 2,441.64, 3,662.07 and 709.86 is: 1,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.64 : 3,662.07 = 709.86 : x
  2. Step 2: Convert to fraction form
    2,441.64/3,662.07 = 709.86/x
  3. Step 3: Cross multiply
    2,441.64x = 3,662.07 × 709.86
  4. Step 4: Simplify right side
    2,441.64x = 2,599,557.01
  5. Step 5: Solve for x
    x = 2,599,557.01/2,441.64
  6. Step 6: Final answer
    x = 1,064.68

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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.