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Finding the Fourth Proportional to 2,473.77, 3,414.25 and 1,847.44

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Solution

The fourth proportional to 2,473.77, 3,414.25 and 1,847.44 is: 2,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.77 : 3,414.25 = 1,847.44 : x
  2. Step 2: Convert to fraction form
    2,473.77/3,414.25 = 1,847.44/x
  3. Step 3: Cross multiply
    2,473.77x = 3,414.25 × 1,847.44
  4. Step 4: Simplify right side
    2,473.77x = 6,307,628.60
  5. Step 5: Solve for x
    x = 6,307,628.60/2,473.77
  6. Step 6: Final answer
    x = 2,549.80

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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.