Home / 2,462.25-3,690.19-999.71

Finding the Fourth Proportional to 2,462.25, 3,690.19 and 999.71

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Solution

The fourth proportional to 2,462.25, 3,690.19 and 999.71 is: 1,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.25 : 3,690.19 = 999.71 : x
  2. Step 2: Convert to fraction form
    2,462.25/3,690.19 = 999.71/x
  3. Step 3: Cross multiply
    2,462.25x = 3,690.19 × 999.71
  4. Step 4: Simplify right side
    2,462.25x = 3,689,119.84
  5. Step 5: Solve for x
    x = 3,689,119.84/2,462.25
  6. Step 6: Final answer
    x = 1,498.27

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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.