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Finding the Fourth Proportional to 1,824.29, 2,735.84 and 591.44

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Solution

The fourth proportional to 1,824.29, 2,735.84 and 591.44 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.29 : 2,735.84 = 591.44 : x
  2. Step 2: Convert to fraction form
    1,824.29/2,735.84 = 591.44/x
  3. Step 3: Cross multiply
    1,824.29x = 2,735.84 × 591.44
  4. Step 4: Simplify right side
    1,824.29x = 1,618,073.01
  5. Step 5: Solve for x
    x = 1,618,073.01/1,824.29
  6. Step 6: Final answer
    x = 886.96

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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.