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Finding the Fourth Proportional to 2,616.69, 3,611.03 and 1,497.63

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Solution

The fourth proportional to 2,616.69, 3,611.03 and 1,497.63 is: 2,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.69 : 3,611.03 = 1,497.63 : x
  2. Step 2: Convert to fraction form
    2,616.69/3,611.03 = 1,497.63/x
  3. Step 3: Cross multiply
    2,616.69x = 3,611.03 × 1,497.63
  4. Step 4: Simplify right side
    2,616.69x = 5,407,961.32
  5. Step 5: Solve for x
    x = 5,407,961.32/2,616.69
  6. Step 6: Final answer
    x = 2,066.72

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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.