Home / 1,589.45-2,382.34-615.02

Finding the Fourth Proportional to 1,589.45, 2,382.34 and 615.02

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Solution

The fourth proportional to 1,589.45, 2,382.34 and 615.02 is: 921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.45 : 2,382.34 = 615.02 : x
  2. Step 2: Convert to fraction form
    1,589.45/2,382.34 = 615.02/x
  3. Step 3: Cross multiply
    1,589.45x = 2,382.34 × 615.02
  4. Step 4: Simplify right side
    1,589.45x = 1,465,173.30
  5. Step 5: Solve for x
    x = 1,465,173.30/1,589.45
  6. Step 6: Final answer
    x = 921.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.