Home / 2,542.23-3,812.00-1,309.14

Finding the Fourth Proportional to 2,542.23, 3,812.00 and 1,309.14

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Solution

The fourth proportional to 2,542.23, 3,812.00 and 1,309.14 is: 1,963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.23 : 3,812.00 = 1,309.14 : x
  2. Step 2: Convert to fraction form
    2,542.23/3,812.00 = 1,309.14/x
  3. Step 3: Cross multiply
    2,542.23x = 3,812.00 × 1,309.14
  4. Step 4: Simplify right side
    2,542.23x = 4,990,435.13
  5. Step 5: Solve for x
    x = 4,990,435.13/2,542.23
  6. Step 6: Final answer
    x = 1,963.01

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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.