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Finding the Fourth Proportional to 1,619.70, 2,414.14 and 1,527.44

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Solution

The fourth proportional to 1,619.70, 2,414.14 and 1,527.44 is: 2,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.70 : 2,414.14 = 1,527.44 : x
  2. Step 2: Convert to fraction form
    1,619.70/2,414.14 = 1,527.44/x
  3. Step 3: Cross multiply
    1,619.70x = 2,414.14 × 1,527.44
  4. Step 4: Simplify right side
    1,619.70x = 3,687,454.00
  5. Step 5: Solve for x
    x = 3,687,454.00/1,619.70
  6. Step 6: Final answer
    x = 2,276.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.