Home / 2,409.46-3,613.77-849.10

Finding the Fourth Proportional to 2,409.46, 3,613.77 and 849.10

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Solution

The fourth proportional to 2,409.46, 3,613.77 and 849.10 is: 1,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.46 : 3,613.77 = 849.10 : x
  2. Step 2: Convert to fraction form
    2,409.46/3,613.77 = 849.10/x
  3. Step 3: Cross multiply
    2,409.46x = 3,613.77 × 849.10
  4. Step 4: Simplify right side
    2,409.46x = 3,068,452.11
  5. Step 5: Solve for x
    x = 3,068,452.11/2,409.46
  6. Step 6: Final answer
    x = 1,273.50

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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.