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Finding the Fourth Proportional to 2,616.09, 3,925.28 and 1,229.31

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Solution

The fourth proportional to 2,616.09, 3,925.28 and 1,229.31 is: 1,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.09 : 3,925.28 = 1,229.31 : x
  2. Step 2: Convert to fraction form
    2,616.09/3,925.28 = 1,229.31/x
  3. Step 3: Cross multiply
    2,616.09x = 3,925.28 × 1,229.31
  4. Step 4: Simplify right side
    2,616.09x = 4,825,379.81
  5. Step 5: Solve for x
    x = 4,825,379.81/2,616.09
  6. Step 6: Final answer
    x = 1,844.50

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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.