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Finding the Fourth Proportional to 2,162.19, 3,244.13 and 864.57

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Solution

The fourth proportional to 2,162.19, 3,244.13 and 864.57 is: 1,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.19 : 3,244.13 = 864.57 : x
  2. Step 2: Convert to fraction form
    2,162.19/3,244.13 = 864.57/x
  3. Step 3: Cross multiply
    2,162.19x = 3,244.13 × 864.57
  4. Step 4: Simplify right side
    2,162.19x = 2,804,773.15
  5. Step 5: Solve for x
    x = 2,804,773.15/2,162.19
  6. Step 6: Final answer
    x = 1,297.19

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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.