Home / 2,467.80-3,701.88-824.52

Finding the Fourth Proportional to 2,467.80, 3,701.88 and 824.52

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Solution

The fourth proportional to 2,467.80, 3,701.88 and 824.52 is: 1,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.80 : 3,701.88 = 824.52 : x
  2. Step 2: Convert to fraction form
    2,467.80/3,701.88 = 824.52/x
  3. Step 3: Cross multiply
    2,467.80x = 3,701.88 × 824.52
  4. Step 4: Simplify right side
    2,467.80x = 3,052,274.10
  5. Step 5: Solve for x
    x = 3,052,274.10/2,467.80
  6. Step 6: Final answer
    x = 1,236.84

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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.