Home / 1,616.28-2,230.08-1,027.68

Finding the Fourth Proportional to 1,616.28, 2,230.08 and 1,027.68

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Solution

The fourth proportional to 1,616.28, 2,230.08 and 1,027.68 is: 1,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.28 : 2,230.08 = 1,027.68 : x
  2. Step 2: Convert to fraction form
    1,616.28/2,230.08 = 1,027.68/x
  3. Step 3: Cross multiply
    1,616.28x = 2,230.08 × 1,027.68
  4. Step 4: Simplify right side
    1,616.28x = 2,291,808.61
  5. Step 5: Solve for x
    x = 2,291,808.61/1,616.28
  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.