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Finding the Fourth Proportional to 1,724.80, 2,587.22 and 492.22

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Solution

The fourth proportional to 1,724.80, 2,587.22 and 492.22 is: 738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.80 : 2,587.22 = 492.22 : x
  2. Step 2: Convert to fraction form
    1,724.80/2,587.22 = 492.22/x
  3. Step 3: Cross multiply
    1,724.80x = 2,587.22 × 492.22
  4. Step 4: Simplify right side
    1,724.80x = 1,273,481.43
  5. Step 5: Solve for x
    x = 1,273,481.43/1,724.80
  6. Step 6: Final answer
    x = 738.34

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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.