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Finding the Fourth Proportional to 2,354.42, 3,235.54 and 2,288.82

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Solution

The fourth proportional to 2,354.42, 3,235.54 and 2,288.82 is: 3,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.42 : 3,235.54 = 2,288.82 : x
  2. Step 2: Convert to fraction form
    2,354.42/3,235.54 = 2,288.82/x
  3. Step 3: Cross multiply
    2,354.42x = 3,235.54 × 2,288.82
  4. Step 4: Simplify right side
    2,354.42x = 7,405,568.66
  5. Step 5: Solve for x
    x = 7,405,568.66/2,354.42
  6. Step 6: Final answer
    x = 3,145.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.