Home / 1,984.35-2,969.49-1,463.13

Finding the Fourth Proportional to 1,984.35, 2,969.49 and 1,463.13

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Solution

The fourth proportional to 1,984.35, 2,969.49 and 1,463.13 is: 2,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.35 : 2,969.49 = 1,463.13 : x
  2. Step 2: Convert to fraction form
    1,984.35/2,969.49 = 1,463.13/x
  3. Step 3: Cross multiply
    1,984.35x = 2,969.49 × 1,463.13
  4. Step 4: Simplify right side
    1,984.35x = 4,344,749.90
  5. Step 5: Solve for x
    x = 4,344,749.90/1,984.35
  6. Step 6: Final answer
    x = 2,189.51

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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.