Home / 2,494-3,741.76-1,033.24

Finding the Fourth Proportional to 2,494, 3,741.76 and 1,033.24

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Solution

The fourth proportional to 2,494, 3,741.76 and 1,033.24 is: 1,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494 : 3,741.76 = 1,033.24 : x
  2. Step 2: Convert to fraction form
    2,494/3,741.76 = 1,033.24/x
  3. Step 3: Cross multiply
    2,494x = 3,741.76 × 1,033.24
  4. Step 4: Simplify right side
    2,494x = 3,866,136.10
  5. Step 5: Solve for x
    x = 3,866,136.10/2,494
  6. Step 6: Final answer
    x = 1,550.17

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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.