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Finding the Fourth Proportional to 3,223.34, 4,826.34 and 2,046.98

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Solution

The fourth proportional to 3,223.34, 4,826.34 and 2,046.98 is: 3,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.34 : 4,826.34 = 2,046.98 : x
  2. Step 2: Convert to fraction form
    3,223.34/4,826.34 = 2,046.98/x
  3. Step 3: Cross multiply
    3,223.34x = 4,826.34 × 2,046.98
  4. Step 4: Simplify right side
    3,223.34x = 9,879,397.32
  5. Step 5: Solve for x
    x = 9,879,397.32/3,223.34
  6. Step 6: Final answer
    x = 3,064.96

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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.