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Finding the Fourth Proportional to 2,238.23, 3,354.62 and 1,828.17

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Solution

The fourth proportional to 2,238.23, 3,354.62 and 1,828.17 is: 2,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.23 : 3,354.62 = 1,828.17 : x
  2. Step 2: Convert to fraction form
    2,238.23/3,354.62 = 1,828.17/x
  3. Step 3: Cross multiply
    2,238.23x = 3,354.62 × 1,828.17
  4. Step 4: Simplify right side
    2,238.23x = 6,132,806.50
  5. Step 5: Solve for x
    x = 6,132,806.50/2,238.23
  6. Step 6: Final answer
    x = 2,740.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.