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Finding the Fourth Proportional to 2,616.38, 3,610.61 and 1,497.53

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Solution

The fourth proportional to 2,616.38, 3,610.61 and 1,497.53 is: 2,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.38 : 3,610.61 = 1,497.53 : x
  2. Step 2: Convert to fraction form
    2,616.38/3,610.61 = 1,497.53/x
  3. Step 3: Cross multiply
    2,616.38x = 3,610.61 × 1,497.53
  4. Step 4: Simplify right side
    2,616.38x = 5,407,003.95
  5. Step 5: Solve for x
    x = 5,407,003.95/2,616.38
  6. Step 6: Final answer
    x = 2,066.60

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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.