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Finding the Fourth Proportional to 1,847.54, 2,769.26 and 923.87

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Solution

The fourth proportional to 1,847.54, 2,769.26 and 923.87 is: 1,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.54 : 2,769.26 = 923.87 : x
  2. Step 2: Convert to fraction form
    1,847.54/2,769.26 = 923.87/x
  3. Step 3: Cross multiply
    1,847.54x = 2,769.26 × 923.87
  4. Step 4: Simplify right side
    1,847.54x = 2,558,438.54
  5. Step 5: Solve for x
    x = 2,558,438.54/1,847.54
  6. Step 6: Final answer
    x = 1,384.78

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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.