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Finding the Fourth Proportional to 2,766.88, 3,819.68 and 1,719.28

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Solution

The fourth proportional to 2,766.88, 3,819.68 and 1,719.28 is: 2,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.88 : 3,819.68 = 1,719.28 : x
  2. Step 2: Convert to fraction form
    2,766.88/3,819.68 = 1,719.28/x
  3. Step 3: Cross multiply
    2,766.88x = 3,819.68 × 1,719.28
  4. Step 4: Simplify right side
    2,766.88x = 6,567,099.43
  5. Step 5: Solve for x
    x = 6,567,099.43/2,766.88
  6. Step 6: Final answer
    x = 2,373.47

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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.