Home / 1,605.20-2,214-1,163.84

Finding the Fourth Proportional to 1,605.20, 2,214 and 1,163.84

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Solution

The fourth proportional to 1,605.20, 2,214 and 1,163.84 is: 1,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.20 : 2,214 = 1,163.84 : x
  2. Step 2: Convert to fraction form
    1,605.20/2,214 = 1,163.84/x
  3. Step 3: Cross multiply
    1,605.20x = 2,214 × 1,163.84
  4. Step 4: Simplify right side
    1,605.20x = 2,576,741.76
  5. Step 5: Solve for x
    x = 2,576,741.76/1,605.20
  6. Step 6: Final answer
    x = 1,605.25

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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.