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Finding the Fourth Proportional to 2,471.84, 3,675.96 and 2,393.97

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Solution

The fourth proportional to 2,471.84, 3,675.96 and 2,393.97 is: 3,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.84 : 3,675.96 = 2,393.97 : x
  2. Step 2: Convert to fraction form
    2,471.84/3,675.96 = 2,393.97/x
  3. Step 3: Cross multiply
    2,471.84x = 3,675.96 × 2,393.97
  4. Step 4: Simplify right side
    2,471.84x = 8,800,137.96
  5. Step 5: Solve for x
    x = 8,800,137.96/2,471.84
  6. Step 6: Final answer
    x = 3,560.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.