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Finding the Fourth Proportional to 3,476.41, 4,797.53 and 1,984.47

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Solution

The fourth proportional to 3,476.41, 4,797.53 and 1,984.47 is: 2,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.41 : 4,797.53 = 1,984.47 : x
  2. Step 2: Convert to fraction form
    3,476.41/4,797.53 = 1,984.47/x
  3. Step 3: Cross multiply
    3,476.41x = 4,797.53 × 1,984.47
  4. Step 4: Simplify right side
    3,476.41x = 9,520,554.36
  5. Step 5: Solve for x
    x = 9,520,554.36/3,476.41
  6. Step 6: Final answer
    x = 2,738.62

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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.