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Finding the Fourth Proportional to 1,616.88, 2,419.83 and 1,357.17

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Solution

The fourth proportional to 1,616.88, 2,419.83 and 1,357.17 is: 2,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.88 : 2,419.83 = 1,357.17 : x
  2. Step 2: Convert to fraction form
    1,616.88/2,419.83 = 1,357.17/x
  3. Step 3: Cross multiply
    1,616.88x = 2,419.83 × 1,357.17
  4. Step 4: Simplify right side
    1,616.88x = 3,284,120.68
  5. Step 5: Solve for x
    x = 3,284,120.68/1,616.88
  6. Step 6: Final answer
    x = 2,031.15

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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.