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Finding the Fourth Proportional to 2,231.46, 3,352.46 and 2,107.13

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Solution

The fourth proportional to 2,231.46, 3,352.46 and 2,107.13 is: 3,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.46 : 3,352.46 = 2,107.13 : x
  2. Step 2: Convert to fraction form
    2,231.46/3,352.46 = 2,107.13/x
  3. Step 3: Cross multiply
    2,231.46x = 3,352.46 × 2,107.13
  4. Step 4: Simplify right side
    2,231.46x = 7,064,041.74
  5. Step 5: Solve for x
    x = 7,064,041.74/2,231.46
  6. Step 6: Final answer
    x = 3,165.66

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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.