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Finding the Fourth Proportional to 2,238.54, 3,342.72 and 1,828.47

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Solution

The fourth proportional to 2,238.54, 3,342.72 and 1,828.47 is: 2,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.54 : 3,342.72 = 1,828.47 : x
  2. Step 2: Convert to fraction form
    2,238.54/3,342.72 = 1,828.47/x
  3. Step 3: Cross multiply
    2,238.54x = 3,342.72 × 1,828.47
  4. Step 4: Simplify right side
    2,238.54x = 6,112,063.24
  5. Step 5: Solve for x
    x = 6,112,063.24/2,238.54
  6. Step 6: Final answer
    x = 2,730.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.