Home / 2,461.24-3,692.40-1,162

Finding the Fourth Proportional to 2,461.24, 3,692.40 and 1,162

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Solution

The fourth proportional to 2,461.24, 3,692.40 and 1,162 is: 1,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.24 : 3,692.40 = 1,162 : x
  2. Step 2: Convert to fraction form
    2,461.24/3,692.40 = 1,162/x
  3. Step 3: Cross multiply
    2,461.24x = 3,692.40 × 1,162
  4. Step 4: Simplify right side
    2,461.24x = 4,290,568.80
  5. Step 5: Solve for x
    x = 4,290,568.80/2,461.24
  6. Step 6: Final answer
    x = 1,743.25

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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.