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Finding the Fourth Proportional to 1,863.28, 2,790.94 and 1,419.60

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Solution

The fourth proportional to 1,863.28, 2,790.94 and 1,419.60 is: 2,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.28 : 2,790.94 = 1,419.60 : x
  2. Step 2: Convert to fraction form
    1,863.28/2,790.94 = 1,419.60/x
  3. Step 3: Cross multiply
    1,863.28x = 2,790.94 × 1,419.60
  4. Step 4: Simplify right side
    1,863.28x = 3,962,018.42
  5. Step 5: Solve for x
    x = 3,962,018.42/1,863.28
  6. Step 6: Final answer
    x = 2,126.37

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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.