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Finding the Fourth Proportional to 2,533.70, 3,800.37 and 684.92

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Solution

The fourth proportional to 2,533.70, 3,800.37 and 684.92 is: 1,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.70 : 3,800.37 = 684.92 : x
  2. Step 2: Convert to fraction form
    2,533.70/3,800.37 = 684.92/x
  3. Step 3: Cross multiply
    2,533.70x = 3,800.37 × 684.92
  4. Step 4: Simplify right side
    2,533.70x = 2,602,949.42
  5. Step 5: Solve for x
    x = 2,602,949.42/2,533.70
  6. Step 6: Final answer
    x = 1,027.33

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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.