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Finding the Fourth Proportional to 2,469.40, 3,707.70 and 1,922.20

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Solution

The fourth proportional to 2,469.40, 3,707.70 and 1,922.20 is: 2,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.40 : 3,707.70 = 1,922.20 : x
  2. Step 2: Convert to fraction form
    2,469.40/3,707.70 = 1,922.20/x
  3. Step 3: Cross multiply
    2,469.40x = 3,707.70 × 1,922.20
  4. Step 4: Simplify right side
    2,469.40x = 7,126,940.94
  5. Step 5: Solve for x
    x = 7,126,940.94/2,469.40
  6. Step 6: Final answer
    x = 2,886.10

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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.