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Finding the Fourth Proportional to 2,179.41, 3,266.82 and 718.17

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Solution

The fourth proportional to 2,179.41, 3,266.82 and 718.17 is: 1,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.41 : 3,266.82 = 718.17 : x
  2. Step 2: Convert to fraction form
    2,179.41/3,266.82 = 718.17/x
  3. Step 3: Cross multiply
    2,179.41x = 3,266.82 × 718.17
  4. Step 4: Simplify right side
    2,179.41x = 2,346,132.12
  5. Step 5: Solve for x
    x = 2,346,132.12/2,179.41
  6. Step 6: Final answer
    x = 1,076.50

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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.