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Finding the Fourth Proportional to 1,687.89, 2,532.93 and 821.73

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Solution

The fourth proportional to 1,687.89, 2,532.93 and 821.73 is: 1,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.89 : 2,532.93 = 821.73 : x
  2. Step 2: Convert to fraction form
    1,687.89/2,532.93 = 821.73/x
  3. Step 3: Cross multiply
    1,687.89x = 2,532.93 × 821.73
  4. Step 4: Simplify right side
    1,687.89x = 2,081,384.57
  5. Step 5: Solve for x
    x = 2,081,384.57/1,687.89
  6. Step 6: Final answer
    x = 1,233.13

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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.