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Finding the Fourth Proportional to 1,634.02, 2,450.88 and 801.34

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Solution

The fourth proportional to 1,634.02, 2,450.88 and 801.34 is: 1,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.02 : 2,450.88 = 801.34 : x
  2. Step 2: Convert to fraction form
    1,634.02/2,450.88 = 801.34/x
  3. Step 3: Cross multiply
    1,634.02x = 2,450.88 × 801.34
  4. Step 4: Simplify right side
    1,634.02x = 1,963,988.18
  5. Step 5: Solve for x
    x = 1,963,988.18/1,634.02
  6. Step 6: Final answer
    x = 1,201.94

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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.