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Finding the Fourth Proportional to 2,764.99, 3,812.97 and 2,346.49

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Solution

The fourth proportional to 2,764.99, 3,812.97 and 2,346.49 is: 3,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.99 : 3,812.97 = 2,346.49 : x
  2. Step 2: Convert to fraction form
    2,764.99/3,812.97 = 2,346.49/x
  3. Step 3: Cross multiply
    2,764.99x = 3,812.97 × 2,346.49
  4. Step 4: Simplify right side
    2,764.99x = 8,947,095.98
  5. Step 5: Solve for x
    x = 8,947,095.98/2,764.99
  6. Step 6: Final answer
    x = 3,235.85

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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.