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Finding the Fourth Proportional to 3,121.34, 4,307.41 and 1,724.09

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Solution

The fourth proportional to 3,121.34, 4,307.41 and 1,724.09 is: 2,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.34 : 4,307.41 = 1,724.09 : x
  2. Step 2: Convert to fraction form
    3,121.34/4,307.41 = 1,724.09/x
  3. Step 3: Cross multiply
    3,121.34x = 4,307.41 × 1,724.09
  4. Step 4: Simplify right side
    3,121.34x = 7,426,336.66
  5. Step 5: Solve for x
    x = 7,426,336.66/3,121.34
  6. Step 6: Final answer
    x = 2,379.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.