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Finding the Fourth Proportional to 3,251.97, 4,877.80 and 1,608.01

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Solution

The fourth proportional to 3,251.97, 4,877.80 and 1,608.01 is: 2,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.97 : 4,877.80 = 1,608.01 : x
  2. Step 2: Convert to fraction form
    3,251.97/4,877.80 = 1,608.01/x
  3. Step 3: Cross multiply
    3,251.97x = 4,877.80 × 1,608.01
  4. Step 4: Simplify right side
    3,251.97x = 7,843,551.18
  5. Step 5: Solve for x
    x = 7,843,551.18/3,251.97
  6. Step 6: Final answer
    x = 2,411.94

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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.