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Finding the Fourth Proportional to 2,192.30, 3,286.31 and 875.66

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Solution

The fourth proportional to 2,192.30, 3,286.31 and 875.66 is: 1,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.30 : 3,286.31 = 875.66 : x
  2. Step 2: Convert to fraction form
    2,192.30/3,286.31 = 875.66/x
  3. Step 3: Cross multiply
    2,192.30x = 3,286.31 × 875.66
  4. Step 4: Simplify right side
    2,192.30x = 2,877,669.40
  5. Step 5: Solve for x
    x = 2,877,669.40/2,192.30
  6. Step 6: Final answer
    x = 1,312.63

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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.