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Finding the Fourth Proportional to 3,476.85, 4,798.49 and 1,984.42

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Solution

The fourth proportional to 3,476.85, 4,798.49 and 1,984.42 is: 2,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.85 : 4,798.49 = 1,984.42 : x
  2. Step 2: Convert to fraction form
    3,476.85/4,798.49 = 1,984.42/x
  3. Step 3: Cross multiply
    3,476.85x = 4,798.49 × 1,984.42
  4. Step 4: Simplify right side
    3,476.85x = 9,522,219.53
  5. Step 5: Solve for x
    x = 9,522,219.53/3,476.85
  6. Step 6: Final answer
    x = 2,738.75

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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.