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Finding the Fourth Proportional to 1,819.12, 2,728.56 and 586.84

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Solution

The fourth proportional to 1,819.12, 2,728.56 and 586.84 is: 880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.12 : 2,728.56 = 586.84 : x
  2. Step 2: Convert to fraction form
    1,819.12/2,728.56 = 586.84/x
  3. Step 3: Cross multiply
    1,819.12x = 2,728.56 × 586.84
  4. Step 4: Simplify right side
    1,819.12x = 1,601,228.15
  5. Step 5: Solve for x
    x = 1,601,228.15/1,819.12
  6. Step 6: Final answer
    x = 880.22

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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.