Home / 2,107.23-3,160.50-646.38

Finding the Fourth Proportional to 2,107.23, 3,160.50 and 646.38

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Solution

The fourth proportional to 2,107.23, 3,160.50 and 646.38 is: 969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.23 : 3,160.50 = 646.38 : x
  2. Step 2: Convert to fraction form
    2,107.23/3,160.50 = 646.38/x
  3. Step 3: Cross multiply
    2,107.23x = 3,160.50 × 646.38
  4. Step 4: Simplify right side
    2,107.23x = 2,042,883.99
  5. Step 5: Solve for x
    x = 2,042,883.99/2,107.23
  6. Step 6: Final answer
    x = 969.46

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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.