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Finding the Fourth Proportional to 2,162.77, 3,245.46 and 864.13

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Solution

The fourth proportional to 2,162.77, 3,245.46 and 864.13 is: 1,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.77 : 3,245.46 = 864.13 : x
  2. Step 2: Convert to fraction form
    2,162.77/3,245.46 = 864.13/x
  3. Step 3: Cross multiply
    2,162.77x = 3,245.46 × 864.13
  4. Step 4: Simplify right side
    2,162.77x = 2,804,499.35
  5. Step 5: Solve for x
    x = 2,804,499.35/2,162.77
  6. Step 6: Final answer
    x = 1,296.72

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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.