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Finding the Fourth Proportional to 2,773.30, 3,823.25 and 1,724.66

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Solution

The fourth proportional to 2,773.30, 3,823.25 and 1,724.66 is: 2,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.30 : 3,823.25 = 1,724.66 : x
  2. Step 2: Convert to fraction form
    2,773.30/3,823.25 = 1,724.66/x
  3. Step 3: Cross multiply
    2,773.30x = 3,823.25 × 1,724.66
  4. Step 4: Simplify right side
    2,773.30x = 6,593,806.35
  5. Step 5: Solve for x
    x = 6,593,806.35/2,773.30
  6. Step 6: Final answer
    x = 2,377.60

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Why These Related Problems?

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