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Finding the Fourth Proportional to 4,451.08, 6,675 and 1,983.46

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Solution

The fourth proportional to 4,451.08, 6,675 and 1,983.46 is: 2,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.08 : 6,675 = 1,983.46 : x
  2. Step 2: Convert to fraction form
    4,451.08/6,675 = 1,983.46/x
  3. Step 3: Cross multiply
    4,451.08x = 6,675 × 1,983.46
  4. Step 4: Simplify right side
    4,451.08x = 13,239,595.50
  5. Step 5: Solve for x
    x = 13,239,595.50/4,451.08
  6. Step 6: Final answer
    x = 2,974.47

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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.