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Finding the Fourth Proportional to 2,616.82, 3,610.39 and 1,497.69

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Solution

The fourth proportional to 2,616.82, 3,610.39 and 1,497.69 is: 2,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.82 : 3,610.39 = 1,497.69 : x
  2. Step 2: Convert to fraction form
    2,616.82/3,610.39 = 1,497.69/x
  3. Step 3: Cross multiply
    2,616.82x = 3,610.39 × 1,497.69
  4. Step 4: Simplify right side
    2,616.82x = 5,407,245.00
  5. Step 5: Solve for x
    x = 5,407,245.00/2,616.82
  6. Step 6: Final answer
    x = 2,066.34

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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.