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Finding the Fourth Proportional to 2,781.46, 3,830.25 and 2,486.62

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Solution

The fourth proportional to 2,781.46, 3,830.25 and 2,486.62 is: 3,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.46 : 3,830.25 = 2,486.62 : x
  2. Step 2: Convert to fraction form
    2,781.46/3,830.25 = 2,486.62/x
  3. Step 3: Cross multiply
    2,781.46x = 3,830.25 × 2,486.62
  4. Step 4: Simplify right side
    2,781.46x = 9,524,376.26
  5. Step 5: Solve for x
    x = 9,524,376.26/2,781.46
  6. Step 6: Final answer
    x = 3,424.24

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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.