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Finding the Fourth Proportional to 3,121.33, 4,307.43 and 1,724.08

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Solution

The fourth proportional to 3,121.33, 4,307.43 and 1,724.08 is: 2,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.33 : 4,307.43 = 1,724.08 : x
  2. Step 2: Convert to fraction form
    3,121.33/4,307.43 = 1,724.08/x
  3. Step 3: Cross multiply
    3,121.33x = 4,307.43 × 1,724.08
  4. Step 4: Simplify right side
    3,121.33x = 7,426,353.91
  5. Step 5: Solve for x
    x = 7,426,353.91/3,121.33
  6. Step 6: Final answer
    x = 2,379.23

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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.