Home / 1,616.87-2,231.46-1,027.42

Finding the Fourth Proportional to 1,616.87, 2,231.46 and 1,027.42

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Solution

The fourth proportional to 1,616.87, 2,231.46 and 1,027.42 is: 1,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.87 : 2,231.46 = 1,027.42 : x
  2. Step 2: Convert to fraction form
    1,616.87/2,231.46 = 1,027.42/x
  3. Step 3: Cross multiply
    1,616.87x = 2,231.46 × 1,027.42
  4. Step 4: Simplify right side
    1,616.87x = 2,292,641.05
  5. Step 5: Solve for x
    x = 2,292,641.05/1,616.87
  6. Step 6: Final answer
    x = 1,417.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.