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Finding the Fourth Proportional to 2,238.84, 3,354.21 and 1,140.48

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Solution

The fourth proportional to 2,238.84, 3,354.21 and 1,140.48 is: 1,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.84 : 3,354.21 = 1,140.48 : x
  2. Step 2: Convert to fraction form
    2,238.84/3,354.21 = 1,140.48/x
  3. Step 3: Cross multiply
    2,238.84x = 3,354.21 × 1,140.48
  4. Step 4: Simplify right side
    2,238.84x = 3,825,409.42
  5. Step 5: Solve for x
    x = 3,825,409.42/2,238.84
  6. Step 6: Final answer
    x = 1,708.66

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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.