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Finding the Fourth Proportional to 3,234.92, 4,851.36 and 1,043.19

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Solution

The fourth proportional to 3,234.92, 4,851.36 and 1,043.19 is: 1,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.92 : 4,851.36 = 1,043.19 : x
  2. Step 2: Convert to fraction form
    3,234.92/4,851.36 = 1,043.19/x
  3. Step 3: Cross multiply
    3,234.92x = 4,851.36 × 1,043.19
  4. Step 4: Simplify right side
    3,234.92x = 5,060,890.24
  5. Step 5: Solve for x
    x = 5,060,890.24/3,234.92
  6. Step 6: Final answer
    x = 1,564.46

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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.