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Finding the Fourth Proportional to 2,486.95, 3,730.74 and 821.25

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Solution

The fourth proportional to 2,486.95, 3,730.74 and 821.25 is: 1,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.95 : 3,730.74 = 821.25 : x
  2. Step 2: Convert to fraction form
    2,486.95/3,730.74 = 821.25/x
  3. Step 3: Cross multiply
    2,486.95x = 3,730.74 × 821.25
  4. Step 4: Simplify right side
    2,486.95x = 3,063,856.23
  5. Step 5: Solve for x
    x = 3,063,856.23/2,486.95
  6. Step 6: Final answer
    x = 1,231.97

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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.