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Finding the Fourth Proportional to 2,699.21, 3,713.20 and 2,200.76

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Solution

The fourth proportional to 2,699.21, 3,713.20 and 2,200.76 is: 3,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.21 : 3,713.20 = 2,200.76 : x
  2. Step 2: Convert to fraction form
    2,699.21/3,713.20 = 2,200.76/x
  3. Step 3: Cross multiply
    2,699.21x = 3,713.20 × 2,200.76
  4. Step 4: Simplify right side
    2,699.21x = 8,171,862.03
  5. Step 5: Solve for x
    x = 8,171,862.03/2,699.21
  6. Step 6: Final answer
    x = 3,027.50

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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.