Home / 2,032.77-3,049.23-646.13

Finding the Fourth Proportional to 2,032.77, 3,049.23 and 646.13

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Solution

The fourth proportional to 2,032.77, 3,049.23 and 646.13 is: 969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.77 : 3,049.23 = 646.13 : x
  2. Step 2: Convert to fraction form
    2,032.77/3,049.23 = 646.13/x
  3. Step 3: Cross multiply
    2,032.77x = 3,049.23 × 646.13
  4. Step 4: Simplify right side
    2,032.77x = 1,970,198.98
  5. Step 5: Solve for x
    x = 1,970,198.98/2,032.77
  6. Step 6: Final answer
    x = 969.22

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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.