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Finding the Fourth Proportional to 3,299.86, 4,948.44 and 2,065.42

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Solution

The fourth proportional to 3,299.86, 4,948.44 and 2,065.42 is: 3,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.86 : 4,948.44 = 2,065.42 : x
  2. Step 2: Convert to fraction form
    3,299.86/4,948.44 = 2,065.42/x
  3. Step 3: Cross multiply
    3,299.86x = 4,948.44 × 2,065.42
  4. Step 4: Simplify right side
    3,299.86x = 10,220,606.94
  5. Step 5: Solve for x
    x = 10,220,606.94/3,299.86
  6. Step 6: Final answer
    x = 3,097.29

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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.