Home / 2,469.24-3,701.10-1,496

Finding the Fourth Proportional to 2,469.24, 3,701.10 and 1,496

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Solution

The fourth proportional to 2,469.24, 3,701.10 and 1,496 is: 2,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.24 : 3,701.10 = 1,496 : x
  2. Step 2: Convert to fraction form
    2,469.24/3,701.10 = 1,496/x
  3. Step 3: Cross multiply
    2,469.24x = 3,701.10 × 1,496
  4. Step 4: Simplify right side
    2,469.24x = 5,536,845.60
  5. Step 5: Solve for x
    x = 5,536,845.60/2,469.24
  6. Step 6: Final answer
    x = 2,242.33

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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.