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Finding the Fourth Proportional to 2,168.42, 3,253.23 and 870.80

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Solution

The fourth proportional to 2,168.42, 3,253.23 and 870.80 is: 1,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.42 : 3,253.23 = 870.80 : x
  2. Step 2: Convert to fraction form
    2,168.42/3,253.23 = 870.80/x
  3. Step 3: Cross multiply
    2,168.42x = 3,253.23 × 870.80
  4. Step 4: Simplify right side
    2,168.42x = 2,832,896.42
  5. Step 5: Solve for x
    x = 2,832,896.42/2,168.42
  6. Step 6: Final answer
    x = 1,306.44

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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.