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Finding the Fourth Proportional to 2,604.25, 3,905.62 and 848.88

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Solution

The fourth proportional to 2,604.25, 3,905.62 and 848.88 is: 1,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.25 : 3,905.62 = 848.88 : x
  2. Step 2: Convert to fraction form
    2,604.25/3,905.62 = 848.88/x
  3. Step 3: Cross multiply
    2,604.25x = 3,905.62 × 848.88
  4. Step 4: Simplify right side
    2,604.25x = 3,315,400.58
  5. Step 5: Solve for x
    x = 3,315,400.58/2,604.25
  6. Step 6: Final answer
    x = 1,273.07

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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.