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Finding the Fourth Proportional to 3,006.50, 4,507.95 and 1,249.39

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Solution

The fourth proportional to 3,006.50, 4,507.95 and 1,249.39 is: 1,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.50 : 4,507.95 = 1,249.39 : x
  2. Step 2: Convert to fraction form
    3,006.50/4,507.95 = 1,249.39/x
  3. Step 3: Cross multiply
    3,006.50x = 4,507.95 × 1,249.39
  4. Step 4: Simplify right side
    3,006.50x = 5,632,165.11
  5. Step 5: Solve for x
    x = 5,632,165.11/3,006.50
  6. Step 6: Final answer
    x = 1,873.33

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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.