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Finding the Fourth Proportional to 2,179.70, 3,269.20 and 946.78

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Solution

The fourth proportional to 2,179.70, 3,269.20 and 946.78 is: 1,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.70 : 3,269.20 = 946.78 : x
  2. Step 2: Convert to fraction form
    2,179.70/3,269.20 = 946.78/x
  3. Step 3: Cross multiply
    2,179.70x = 3,269.20 × 946.78
  4. Step 4: Simplify right side
    2,179.70x = 3,095,204.41
  5. Step 5: Solve for x
    x = 3,095,204.41/2,179.70
  6. Step 6: Final answer
    x = 1,420.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.