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Finding the Fourth Proportional to 2,168.19, 3,252.27 and 869.66

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Solution

The fourth proportional to 2,168.19, 3,252.27 and 869.66 is: 1,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.19 : 3,252.27 = 869.66 : x
  2. Step 2: Convert to fraction form
    2,168.19/3,252.27 = 869.66/x
  3. Step 3: Cross multiply
    2,168.19x = 3,252.27 × 869.66
  4. Step 4: Simplify right side
    2,168.19x = 2,828,352.87
  5. Step 5: Solve for x
    x = 2,828,352.87/2,168.19
  6. Step 6: Final answer
    x = 1,304.48

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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.