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Finding the Fourth Proportional to 2,632.64, 3,950.10 and 1,073.75

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Solution

The fourth proportional to 2,632.64, 3,950.10 and 1,073.75 is: 1,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.64 : 3,950.10 = 1,073.75 : x
  2. Step 2: Convert to fraction form
    2,632.64/3,950.10 = 1,073.75/x
  3. Step 3: Cross multiply
    2,632.64x = 3,950.10 × 1,073.75
  4. Step 4: Simplify right side
    2,632.64x = 4,241,400.12
  5. Step 5: Solve for x
    x = 4,241,400.12/2,632.64
  6. Step 6: Final answer
    x = 1,611.09

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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.