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Finding the Fourth Proportional to 1,847.70, 2,771.56 and 461.04

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Solution

The fourth proportional to 1,847.70, 2,771.56 and 461.04 is: 691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.70 : 2,771.56 = 461.04 : x
  2. Step 2: Convert to fraction form
    1,847.70/2,771.56 = 461.04/x
  3. Step 3: Cross multiply
    1,847.70x = 2,771.56 × 461.04
  4. Step 4: Simplify right side
    1,847.70x = 1,277,783.86
  5. Step 5: Solve for x
    x = 1,277,783.86/1,847.70
  6. Step 6: Final answer
    x = 691.55

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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.