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Finding the Fourth Proportional to 1,819.13, 2,728.95 and 586.55

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Solution

The fourth proportional to 1,819.13, 2,728.95 and 586.55 is: 879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.13 : 2,728.95 = 586.55 : x
  2. Step 2: Convert to fraction form
    1,819.13/2,728.95 = 586.55/x
  3. Step 3: Cross multiply
    1,819.13x = 2,728.95 × 586.55
  4. Step 4: Simplify right side
    1,819.13x = 1,600,672.44
  5. Step 5: Solve for x
    x = 1,600,672.44/1,819.13
  6. Step 6: Final answer
    x = 879.91

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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.