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Finding the Fourth Proportional to 1,521.87, 2,100.25 and 892.31

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Solution

The fourth proportional to 1,521.87, 2,100.25 and 892.31 is: 1,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.87 : 2,100.25 = 892.31 : x
  2. Step 2: Convert to fraction form
    1,521.87/2,100.25 = 892.31/x
  3. Step 3: Cross multiply
    1,521.87x = 2,100.25 × 892.31
  4. Step 4: Simplify right side
    1,521.87x = 1,874,074.87
  5. Step 5: Solve for x
    x = 1,874,074.87/1,521.87
  6. Step 6: Final answer
    x = 1,231.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.