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Finding the Fourth Proportional to 2,179, 3,267.72 and 946.36

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Solution

The fourth proportional to 2,179, 3,267.72 and 946.36 is: 1,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179 : 3,267.72 = 946.36 : x
  2. Step 2: Convert to fraction form
    2,179/3,267.72 = 946.36/x
  3. Step 3: Cross multiply
    2,179x = 3,267.72 × 946.36
  4. Step 4: Simplify right side
    2,179x = 3,092,439.50
  5. Step 5: Solve for x
    x = 3,092,439.50/2,179
  6. Step 6: Final answer
    x = 1,419.20

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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.