Home / 1,309.18-1,963.78-849.92

Finding the Fourth Proportional to 1,309.18, 1,963.78 and 849.92

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Solution

The fourth proportional to 1,309.18, 1,963.78 and 849.92 is: 1,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.18 : 1,963.78 = 849.92 : x
  2. Step 2: Convert to fraction form
    1,309.18/1,963.78 = 849.92/x
  3. Step 3: Cross multiply
    1,309.18x = 1,963.78 × 849.92
  4. Step 4: Simplify right side
    1,309.18x = 1,669,055.90
  5. Step 5: Solve for x
    x = 1,669,055.90/1,309.18
  6. Step 6: Final answer
    x = 1,274.89

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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.