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Finding the Fourth Proportional to 2,100.25, 3,150.24 and 867.34

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Solution

The fourth proportional to 2,100.25, 3,150.24 and 867.34 is: 1,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.25 : 3,150.24 = 867.34 : x
  2. Step 2: Convert to fraction form
    2,100.25/3,150.24 = 867.34/x
  3. Step 3: Cross multiply
    2,100.25x = 3,150.24 × 867.34
  4. Step 4: Simplify right side
    2,100.25x = 2,732,329.16
  5. Step 5: Solve for x
    x = 2,732,329.16/2,100.25
  6. Step 6: Final answer
    x = 1,300.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.