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Finding the Fourth Proportional to 2,847.53, 3,923.75 and 2,100.30

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Solution

The fourth proportional to 2,847.53, 3,923.75 and 2,100.30 is: 2,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.53 : 3,923.75 = 2,100.30 : x
  2. Step 2: Convert to fraction form
    2,847.53/3,923.75 = 2,100.30/x
  3. Step 3: Cross multiply
    2,847.53x = 3,923.75 × 2,100.30
  4. Step 4: Simplify right side
    2,847.53x = 8,241,057.38
  5. Step 5: Solve for x
    x = 8,241,057.38/2,847.53
  6. Step 6: Final answer
    x = 2,894.11

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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.