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Finding the Fourth Proportional to 2,225.33, 3,337.69 and 582

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Solution

The fourth proportional to 2,225.33, 3,337.69 and 582 is: 872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.33 : 3,337.69 = 582 : x
  2. Step 2: Convert to fraction form
    2,225.33/3,337.69 = 582/x
  3. Step 3: Cross multiply
    2,225.33x = 3,337.69 × 582
  4. Step 4: Simplify right side
    2,225.33x = 1,942,535.58
  5. Step 5: Solve for x
    x = 1,942,535.58/2,225.33
  6. Step 6: Final answer
    x = 872.92

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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.