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Finding the Fourth Proportional to 3,204.84, 4,805.54 and 1,644.20

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Solution

The fourth proportional to 3,204.84, 4,805.54 and 1,644.20 is: 2,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.84 : 4,805.54 = 1,644.20 : x
  2. Step 2: Convert to fraction form
    3,204.84/4,805.54 = 1,644.20/x
  3. Step 3: Cross multiply
    3,204.84x = 4,805.54 × 1,644.20
  4. Step 4: Simplify right side
    3,204.84x = 7,901,268.87
  5. Step 5: Solve for x
    x = 7,901,268.87/3,204.84
  6. Step 6: Final answer
    x = 2,465.42

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1.5x scale

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.