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Finding the Fourth Proportional to 3,199.52, 4,804.49 and 1,974.72

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Solution

The fourth proportional to 3,199.52, 4,804.49 and 1,974.72 is: 2,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.52 : 4,804.49 = 1,974.72 : x
  2. Step 2: Convert to fraction form
    3,199.52/4,804.49 = 1,974.72/x
  3. Step 3: Cross multiply
    3,199.52x = 4,804.49 × 1,974.72
  4. Step 4: Simplify right side
    3,199.52x = 9,487,518.42
  5. Step 5: Solve for x
    x = 9,487,518.42/3,199.52
  6. Step 6: Final answer
    x = 2,965.29

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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.