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Finding the Fourth Proportional to 3,580.84, 4,942.26 and 2,008.84

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Solution

The fourth proportional to 3,580.84, 4,942.26 and 2,008.84 is: 2,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.84 : 4,942.26 = 2,008.84 : x
  2. Step 2: Convert to fraction form
    3,580.84/4,942.26 = 2,008.84/x
  3. Step 3: Cross multiply
    3,580.84x = 4,942.26 × 2,008.84
  4. Step 4: Simplify right side
    3,580.84x = 9,928,209.58
  5. Step 5: Solve for x
    x = 9,928,209.58/3,580.84
  6. Step 6: Final answer
    x = 2,772.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.