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Finding the Fourth Proportional to 2,167.94, 3,252.18 and 868.70

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Solution

The fourth proportional to 2,167.94, 3,252.18 and 868.70 is: 1,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.94 : 3,252.18 = 868.70 : x
  2. Step 2: Convert to fraction form
    2,167.94/3,252.18 = 868.70/x
  3. Step 3: Cross multiply
    2,167.94x = 3,252.18 × 868.70
  4. Step 4: Simplify right side
    2,167.94x = 2,825,168.77
  5. Step 5: Solve for x
    x = 2,825,168.77/2,167.94
  6. Step 6: Final answer
    x = 1,303.16

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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.