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Finding the Fourth Proportional to 2,213.89, 3,321.02 and 632.59

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Solution

The fourth proportional to 2,213.89, 3,321.02 and 632.59 is: 948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.89 : 3,321.02 = 632.59 : x
  2. Step 2: Convert to fraction form
    2,213.89/3,321.02 = 632.59/x
  3. Step 3: Cross multiply
    2,213.89x = 3,321.02 × 632.59
  4. Step 4: Simplify right side
    2,213.89x = 2,100,844.04
  5. Step 5: Solve for x
    x = 2,100,844.04/2,213.89
  6. Step 6: Final answer
    x = 948.94

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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.