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Finding the Fourth Proportional to 2,622.49, 3,934.37 and 867.60

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Solution

The fourth proportional to 2,622.49, 3,934.37 and 867.60 is: 1,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.49 : 3,934.37 = 867.60 : x
  2. Step 2: Convert to fraction form
    2,622.49/3,934.37 = 867.60/x
  3. Step 3: Cross multiply
    2,622.49x = 3,934.37 × 867.60
  4. Step 4: Simplify right side
    2,622.49x = 3,413,461.58
  5. Step 5: Solve for x
    x = 3,413,461.58/2,622.49
  6. Step 6: Final answer
    x = 1,301.61

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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.