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Finding the Fourth Proportional to 3,302.52, 4,953.50 and 1,222.44

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Solution

The fourth proportional to 3,302.52, 4,953.50 and 1,222.44 is: 1,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.52 : 4,953.50 = 1,222.44 : x
  2. Step 2: Convert to fraction form
    3,302.52/4,953.50 = 1,222.44/x
  3. Step 3: Cross multiply
    3,302.52x = 4,953.50 × 1,222.44
  4. Step 4: Simplify right side
    3,302.52x = 6,055,356.54
  5. Step 5: Solve for x
    x = 6,055,356.54/3,302.52
  6. Step 6: Final answer
    x = 1,833.56

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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.