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Finding the Fourth Proportional to 3,006, 4,508.99 and 1,362.51

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Solution

The fourth proportional to 3,006, 4,508.99 and 1,362.51 is: 2,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 4,508.99 = 1,362.51 : x
  2. Step 2: Convert to fraction form
    3,006/4,508.99 = 1,362.51/x
  3. Step 3: Cross multiply
    3,006x = 4,508.99 × 1,362.51
  4. Step 4: Simplify right side
    3,006x = 6,143,537.15
  5. Step 5: Solve for x
    x = 6,143,537.15/3,006
  6. Step 6: Final answer
    x = 2,043.76

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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.