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Finding the Fourth Proportional to 2,774.12, 3,799.14 and 2,737.67

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Solution

The fourth proportional to 2,774.12, 3,799.14 and 2,737.67 is: 3,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.12 : 3,799.14 = 2,737.67 : x
  2. Step 2: Convert to fraction form
    2,774.12/3,799.14 = 2,737.67/x
  3. Step 3: Cross multiply
    2,774.12x = 3,799.14 × 2,737.67
  4. Step 4: Simplify right side
    2,774.12x = 10,400,777.92
  5. Step 5: Solve for x
    x = 10,400,777.92/2,774.12
  6. Step 6: Final answer
    x = 3,749.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.