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Finding the Fourth Proportional to 3,295.70, 4,943.94 and 1,215.32

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Solution

The fourth proportional to 3,295.70, 4,943.94 and 1,215.32 is: 1,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.70 : 4,943.94 = 1,215.32 : x
  2. Step 2: Convert to fraction form
    3,295.70/4,943.94 = 1,215.32/x
  3. Step 3: Cross multiply
    3,295.70x = 4,943.94 × 1,215.32
  4. Step 4: Simplify right side
    3,295.70x = 6,008,469.16
  5. Step 5: Solve for x
    x = 6,008,469.16/3,295.70
  6. Step 6: Final answer
    x = 1,823.12

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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.