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Finding the Fourth Proportional to 2,178.36, 3,267.70 and 717.74

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Solution

The fourth proportional to 2,178.36, 3,267.70 and 717.74 is: 1,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.36 : 3,267.70 = 717.74 : x
  2. Step 2: Convert to fraction form
    2,178.36/3,267.70 = 717.74/x
  3. Step 3: Cross multiply
    2,178.36x = 3,267.70 × 717.74
  4. Step 4: Simplify right side
    2,178.36x = 2,345,359.00
  5. Step 5: Solve for x
    x = 2,345,359.00/2,178.36
  6. Step 6: Final answer
    x = 1,076.66

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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.