Home / 1,583.64-2,184.28-1,163.92

Finding the Fourth Proportional to 1,583.64, 2,184.28 and 1,163.92

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Solution

The fourth proportional to 1,583.64, 2,184.28 and 1,163.92 is: 1,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.64 : 2,184.28 = 1,163.92 : x
  2. Step 2: Convert to fraction form
    1,583.64/2,184.28 = 1,163.92/x
  3. Step 3: Cross multiply
    1,583.64x = 2,184.28 × 1,163.92
  4. Step 4: Simplify right side
    1,583.64x = 2,542,327.18
  5. Step 5: Solve for x
    x = 2,542,327.18/1,583.64
  6. Step 6: Final answer
    x = 1,605.37

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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.