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Finding the Fourth Proportional to 2,238.82, 3,089.64 and 1,354.12

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Solution

The fourth proportional to 2,238.82, 3,089.64 and 1,354.12 is: 1,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.82 : 3,089.64 = 1,354.12 : x
  2. Step 2: Convert to fraction form
    2,238.82/3,089.64 = 1,354.12/x
  3. Step 3: Cross multiply
    2,238.82x = 3,089.64 × 1,354.12
  4. Step 4: Simplify right side
    2,238.82x = 4,183,740.67
  5. Step 5: Solve for x
    x = 4,183,740.67/2,238.82
  6. Step 6: Final answer
    x = 1,868.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.