Home / 2,467.44-3,701.12-824.10

Finding the Fourth Proportional to 2,467.44, 3,701.12 and 824.10

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Solution

The fourth proportional to 2,467.44, 3,701.12 and 824.10 is: 1,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.44 : 3,701.12 = 824.10 : x
  2. Step 2: Convert to fraction form
    2,467.44/3,701.12 = 824.10/x
  3. Step 3: Cross multiply
    2,467.44x = 3,701.12 × 824.10
  4. Step 4: Simplify right side
    2,467.44x = 3,050,092.99
  5. Step 5: Solve for x
    x = 3,050,092.99/2,467.44
  6. Step 6: Final answer
    x = 1,236.14

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1.5x scale

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.