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Finding the Fourth Proportional to 2,263.70, 3,122.76 and 1,563.86

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Solution

The fourth proportional to 2,263.70, 3,122.76 and 1,563.86 is: 2,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.70 : 3,122.76 = 1,563.86 : x
  2. Step 2: Convert to fraction form
    2,263.70/3,122.76 = 1,563.86/x
  3. Step 3: Cross multiply
    2,263.70x = 3,122.76 × 1,563.86
  4. Step 4: Simplify right side
    2,263.70x = 4,883,559.45
  5. Step 5: Solve for x
    x = 4,883,559.45/2,263.70
  6. Step 6: Final answer
    x = 2,157.34

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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.