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Finding the Fourth Proportional to 2,234.97, 3,347.37 and 1,924.35

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Solution

The fourth proportional to 2,234.97, 3,347.37 and 1,924.35 is: 2,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.97 : 3,347.37 = 1,924.35 : x
  2. Step 2: Convert to fraction form
    2,234.97/3,347.37 = 1,924.35/x
  3. Step 3: Cross multiply
    2,234.97x = 3,347.37 × 1,924.35
  4. Step 4: Simplify right side
    2,234.97x = 6,441,511.46
  5. Step 5: Solve for x
    x = 6,441,511.46/2,234.97
  6. Step 6: Final answer
    x = 2,882.15

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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.