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Finding the Fourth Proportional to 2,310.70, 3,470.10 and 2,237.80

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Solution

The fourth proportional to 2,310.70, 3,470.10 and 2,237.80 is: 3,360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.70 : 3,470.10 = 2,237.80 : x
  2. Step 2: Convert to fraction form
    2,310.70/3,470.10 = 2,237.80/x
  3. Step 3: Cross multiply
    2,310.70x = 3,470.10 × 2,237.80
  4. Step 4: Simplify right side
    2,310.70x = 7,765,389.78
  5. Step 5: Solve for x
    x = 7,765,389.78/2,310.70
  6. Step 6: Final answer
    x = 3,360.62

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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.