Home / 2,329.43-3,494.09-1,096.16

Finding the Fourth Proportional to 2,329.43, 3,494.09 and 1,096.16

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Solution

The fourth proportional to 2,329.43, 3,494.09 and 1,096.16 is: 1,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.43 : 3,494.09 = 1,096.16 : x
  2. Step 2: Convert to fraction form
    2,329.43/3,494.09 = 1,096.16/x
  3. Step 3: Cross multiply
    2,329.43x = 3,494.09 × 1,096.16
  4. Step 4: Simplify right side
    2,329.43x = 3,830,058.74
  5. Step 5: Solve for x
    x = 3,830,058.74/2,329.43
  6. Step 6: Final answer
    x = 1,644.21

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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.