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Finding the Fourth Proportional to 3,121.54, 4,307.65 and 1,724.26

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Solution

The fourth proportional to 3,121.54, 4,307.65 and 1,724.26 is: 2,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.54 : 4,307.65 = 1,724.26 : x
  2. Step 2: Convert to fraction form
    3,121.54/4,307.65 = 1,724.26/x
  3. Step 3: Cross multiply
    3,121.54x = 4,307.65 × 1,724.26
  4. Step 4: Simplify right side
    3,121.54x = 7,427,508.59
  5. Step 5: Solve for x
    x = 7,427,508.59/3,121.54
  6. Step 6: Final answer
    x = 2,379.44

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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.