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Finding the Fourth Proportional to 1,727.84, 2,384.42 and 941.87

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Solution

The fourth proportional to 1,727.84, 2,384.42 and 941.87 is: 1,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.84 : 2,384.42 = 941.87 : x
  2. Step 2: Convert to fraction form
    1,727.84/2,384.42 = 941.87/x
  3. Step 3: Cross multiply
    1,727.84x = 2,384.42 × 941.87
  4. Step 4: Simplify right side
    1,727.84x = 2,245,801.74
  5. Step 5: Solve for x
    x = 2,245,801.74/1,727.84
  6. Step 6: Final answer
    x = 1,299.78

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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.