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Finding the Fourth Proportional to 2,473.59, 3,727.77 and 2,227.10

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Solution

The fourth proportional to 2,473.59, 3,727.77 and 2,227.10 is: 3,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.59 : 3,727.77 = 2,227.10 : x
  2. Step 2: Convert to fraction form
    2,473.59/3,727.77 = 2,227.10/x
  3. Step 3: Cross multiply
    2,473.59x = 3,727.77 × 2,227.10
  4. Step 4: Simplify right side
    2,473.59x = 8,302,102.10
  5. Step 5: Solve for x
    x = 8,302,102.10/2,473.59
  6. Step 6: Final answer
    x = 3,356.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.