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Finding the Fourth Proportional to 2,735.91, 4,094.14 and 2,003.67

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Solution

The fourth proportional to 2,735.91, 4,094.14 and 2,003.67 is: 2,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.91 : 4,094.14 = 2,003.67 : x
  2. Step 2: Convert to fraction form
    2,735.91/4,094.14 = 2,003.67/x
  3. Step 3: Cross multiply
    2,735.91x = 4,094.14 × 2,003.67
  4. Step 4: Simplify right side
    2,735.91x = 8,203,275.00
  5. Step 5: Solve for x
    x = 8,203,275.00/2,735.91
  6. Step 6: Final answer
    x = 2,998.38

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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.