Home / 2,130.13-3,194.66-743.26

Finding the Fourth Proportional to 2,130.13, 3,194.66 and 743.26

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Solution

The fourth proportional to 2,130.13, 3,194.66 and 743.26 is: 1,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.13 : 3,194.66 = 743.26 : x
  2. Step 2: Convert to fraction form
    2,130.13/3,194.66 = 743.26/x
  3. Step 3: Cross multiply
    2,130.13x = 3,194.66 × 743.26
  4. Step 4: Simplify right side
    2,130.13x = 2,374,443.30
  5. Step 5: Solve for x
    x = 2,374,443.30/2,130.13
  6. Step 6: Final answer
    x = 1,114.70

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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.