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Finding the Fourth Proportional to 2,616.78, 3,611.28 and 1,731.06

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Solution

The fourth proportional to 2,616.78, 3,611.28 and 1,731.06 is: 2,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.78 : 3,611.28 = 1,731.06 : x
  2. Step 2: Convert to fraction form
    2,616.78/3,611.28 = 1,731.06/x
  3. Step 3: Cross multiply
    2,616.78x = 3,611.28 × 1,731.06
  4. Step 4: Simplify right side
    2,616.78x = 6,251,342.36
  5. Step 5: Solve for x
    x = 6,251,342.36/2,616.78
  6. Step 6: Final answer
    x = 2,388.94

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1.5x scale

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.