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Finding the Fourth Proportional to 2,168.41, 3,252.59 and 870.79

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Solution

The fourth proportional to 2,168.41, 3,252.59 and 870.79 is: 1,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.41 : 3,252.59 = 870.79 : x
  2. Step 2: Convert to fraction form
    2,168.41/3,252.59 = 870.79/x
  3. Step 3: Cross multiply
    2,168.41x = 3,252.59 × 870.79
  4. Step 4: Simplify right side
    2,168.41x = 2,832,322.85
  5. Step 5: Solve for x
    x = 2,832,322.85/2,168.41
  6. Step 6: Final answer
    x = 1,306.17

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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.