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Finding the Fourth Proportional to 2,178.10, 3,267.14 and 717.67

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Solution

The fourth proportional to 2,178.10, 3,267.14 and 717.67 is: 1,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.10 : 3,267.14 = 717.67 : x
  2. Step 2: Convert to fraction form
    2,178.10/3,267.14 = 717.67/x
  3. Step 3: Cross multiply
    2,178.10x = 3,267.14 × 717.67
  4. Step 4: Simplify right side
    2,178.10x = 2,344,712.03
  5. Step 5: Solve for x
    x = 2,344,712.03/2,178.10
  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.