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Finding the Fourth Proportional to 3,269.48, 4,509.60 and 2,150.06

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Solution

The fourth proportional to 3,269.48, 4,509.60 and 2,150.06 is: 2,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.48 : 4,509.60 = 2,150.06 : x
  2. Step 2: Convert to fraction form
    3,269.48/4,509.60 = 2,150.06/x
  3. Step 3: Cross multiply
    3,269.48x = 4,509.60 × 2,150.06
  4. Step 4: Simplify right side
    3,269.48x = 9,695,911.38
  5. Step 5: Solve for x
    x = 9,695,911.38/3,269.48
  6. Step 6: Final answer
    x = 2,965.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.