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Finding the Fourth Proportional to 2,235.88, 3,353.82 and 1,471.24

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Solution

The fourth proportional to 2,235.88, 3,353.82 and 1,471.24 is: 2,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.88 : 3,353.82 = 1,471.24 : x
  2. Step 2: Convert to fraction form
    2,235.88/3,353.82 = 1,471.24/x
  3. Step 3: Cross multiply
    2,235.88x = 3,353.82 × 1,471.24
  4. Step 4: Simplify right side
    2,235.88x = 4,934,274.14
  5. Step 5: Solve for x
    x = 4,934,274.14/2,235.88
  6. Step 6: Final answer
    x = 2,206.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.