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Finding the Fourth Proportional to 2,534.82, 3,783.87 and 2,190.36

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Solution

The fourth proportional to 2,534.82, 3,783.87 and 2,190.36 is: 3,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.82 : 3,783.87 = 2,190.36 : x
  2. Step 2: Convert to fraction form
    2,534.82/3,783.87 = 2,190.36/x
  3. Step 3: Cross multiply
    2,534.82x = 3,783.87 × 2,190.36
  4. Step 4: Simplify right side
    2,534.82x = 8,288,037.49
  5. Step 5: Solve for x
    x = 8,288,037.49/2,534.82
  6. Step 6: Final answer
    x = 3,269.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.