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Finding the Fourth Proportional to 2,231.97, 3,347.47 and 1,409.14

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Solution

The fourth proportional to 2,231.97, 3,347.47 and 1,409.14 is: 2,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.97 : 3,347.47 = 1,409.14 : x
  2. Step 2: Convert to fraction form
    2,231.97/3,347.47 = 1,409.14/x
  3. Step 3: Cross multiply
    2,231.97x = 3,347.47 × 1,409.14
  4. Step 4: Simplify right side
    2,231.97x = 4,717,062.24
  5. Step 5: Solve for x
    x = 4,717,062.24/2,231.97
  6. Step 6: Final answer
    x = 2,113.41

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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.