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Finding the Fourth Proportional to 3,476.17, 4,797.11 and 1,984.55

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Solution

The fourth proportional to 3,476.17, 4,797.11 and 1,984.55 is: 2,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.17 : 4,797.11 = 1,984.55 : x
  2. Step 2: Convert to fraction form
    3,476.17/4,797.11 = 1,984.55/x
  3. Step 3: Cross multiply
    3,476.17x = 4,797.11 × 1,984.55
  4. Step 4: Simplify right side
    3,476.17x = 9,520,114.94
  5. Step 5: Solve for x
    x = 9,520,114.94/3,476.17
  6. Step 6: Final answer
    x = 2,738.68

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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.