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Finding the Fourth Proportional to 2,533.92, 3,798.54 and 1,234.68

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Solution

The fourth proportional to 2,533.92, 3,798.54 and 1,234.68 is: 1,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.92 : 3,798.54 = 1,234.68 : x
  2. Step 2: Convert to fraction form
    2,533.92/3,798.54 = 1,234.68/x
  3. Step 3: Cross multiply
    2,533.92x = 3,798.54 × 1,234.68
  4. Step 4: Simplify right side
    2,533.92x = 4,689,981.37
  5. Step 5: Solve for x
    x = 4,689,981.37/2,533.92
  6. Step 6: Final answer
    x = 1,850.88

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1.5x scale

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.