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Finding the Fourth Proportional to 2,615.40, 3,923.17 and 1,229.39

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Solution

The fourth proportional to 2,615.40, 3,923.17 and 1,229.39 is: 1,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.40 : 3,923.17 = 1,229.39 : x
  2. Step 2: Convert to fraction form
    2,615.40/3,923.17 = 1,229.39/x
  3. Step 3: Cross multiply
    2,615.40x = 3,923.17 × 1,229.39
  4. Step 4: Simplify right side
    2,615.40x = 4,823,097.99
  5. Step 5: Solve for x
    x = 4,823,097.99/2,615.40
  6. Step 6: Final answer
    x = 1,844.11

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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.