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Finding the Fourth Proportional to 2,234.41, 3,352.02 and 848.15

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Solution

The fourth proportional to 2,234.41, 3,352.02 and 848.15 is: 1,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.41 : 3,352.02 = 848.15 : x
  2. Step 2: Convert to fraction form
    2,234.41/3,352.02 = 848.15/x
  3. Step 3: Cross multiply
    2,234.41x = 3,352.02 × 848.15
  4. Step 4: Simplify right side
    2,234.41x = 2,843,015.76
  5. Step 5: Solve for x
    x = 2,843,015.76/2,234.41
  6. Step 6: Final answer
    x = 1,272.38

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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.