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Finding the Fourth Proportional to 2,310.94, 3,188.19 and 1,471.42

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Solution

The fourth proportional to 2,310.94, 3,188.19 and 1,471.42 is: 2,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.94 : 3,188.19 = 1,471.42 : x
  2. Step 2: Convert to fraction form
    2,310.94/3,188.19 = 1,471.42/x
  3. Step 3: Cross multiply
    2,310.94x = 3,188.19 × 1,471.42
  4. Step 4: Simplify right side
    2,310.94x = 4,691,166.53
  5. Step 5: Solve for x
    x = 4,691,166.53/2,310.94
  6. Step 6: Final answer
    x = 2,029.98

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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.