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Finding the Fourth Proportional to 2,305.20, 3,455.91 and 723.11

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Solution

The fourth proportional to 2,305.20, 3,455.91 and 723.11 is: 1,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.20 : 3,455.91 = 723.11 : x
  2. Step 2: Convert to fraction form
    2,305.20/3,455.91 = 723.11/x
  3. Step 3: Cross multiply
    2,305.20x = 3,455.91 × 723.11
  4. Step 4: Simplify right side
    2,305.20x = 2,498,985.80
  5. Step 5: Solve for x
    x = 2,498,985.80/2,305.20
  6. Step 6: Final answer
    x = 1,084.06

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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.