Home / 1,588.11-2,382.24-492.49

Finding the Fourth Proportional to 1,588.11, 2,382.24 and 492.49

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Solution

The fourth proportional to 1,588.11, 2,382.24 and 492.49 is: 738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.11 : 2,382.24 = 492.49 : x
  2. Step 2: Convert to fraction form
    1,588.11/2,382.24 = 492.49/x
  3. Step 3: Cross multiply
    1,588.11x = 2,382.24 × 492.49
  4. Step 4: Simplify right side
    1,588.11x = 1,173,229.38
  5. Step 5: Solve for x
    x = 1,173,229.38/1,588.11
  6. Step 6: Final answer
    x = 738.76

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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.