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Finding the Fourth Proportional to 2,230.74, 3,342.47 and 2,145.42

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Solution

The fourth proportional to 2,230.74, 3,342.47 and 2,145.42 is: 3,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.74 : 3,342.47 = 2,145.42 : x
  2. Step 2: Convert to fraction form
    2,230.74/3,342.47 = 2,145.42/x
  3. Step 3: Cross multiply
    2,230.74x = 3,342.47 × 2,145.42
  4. Step 4: Simplify right side
    2,230.74x = 7,170,991.26
  5. Step 5: Solve for x
    x = 7,170,991.26/2,230.74
  6. Step 6: Final answer
    x = 3,214.62

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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.