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Finding the Fourth Proportional to 2,820.96, 4,228.17 and 1,519.70

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Solution

The fourth proportional to 2,820.96, 4,228.17 and 1,519.70 is: 2,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.96 : 4,228.17 = 1,519.70 : x
  2. Step 2: Convert to fraction form
    2,820.96/4,228.17 = 1,519.70/x
  3. Step 3: Cross multiply
    2,820.96x = 4,228.17 × 1,519.70
  4. Step 4: Simplify right side
    2,820.96x = 6,425,549.95
  5. Step 5: Solve for x
    x = 6,425,549.95/2,820.96
  6. Step 6: Final answer
    x = 2,277.79

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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.