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Finding the Fourth Proportional to 1,883.80, 2,825.70 and 1,519.30

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Solution

The fourth proportional to 1,883.80, 2,825.70 and 1,519.30 is: 2,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.80 : 2,825.70 = 1,519.30 : x
  2. Step 2: Convert to fraction form
    1,883.80/2,825.70 = 1,519.30/x
  3. Step 3: Cross multiply
    1,883.80x = 2,825.70 × 1,519.30
  4. Step 4: Simplify right side
    1,883.80x = 4,293,086.01
  5. Step 5: Solve for x
    x = 4,293,086.01/1,883.80
  6. Step 6: Final answer
    x = 2,278.95

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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.