Home / 2,107.35-3,160.80-646.41

Finding the Fourth Proportional to 2,107.35, 3,160.80 and 646.41

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Solution

The fourth proportional to 2,107.35, 3,160.80 and 646.41 is: 969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.35 : 3,160.80 = 646.41 : x
  2. Step 2: Convert to fraction form
    2,107.35/3,160.80 = 646.41/x
  3. Step 3: Cross multiply
    2,107.35x = 3,160.80 × 646.41
  4. Step 4: Simplify right side
    2,107.35x = 2,043,172.73
  5. Step 5: Solve for x
    x = 2,043,172.73/2,107.35
  6. Step 6: Final answer
    x = 969.55

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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.