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Finding the Fourth Proportional to 2,145.75, 3,218.80 and 684.91

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Solution

The fourth proportional to 2,145.75, 3,218.80 and 684.91 is: 1,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.75 : 3,218.80 = 684.91 : x
  2. Step 2: Convert to fraction form
    2,145.75/3,218.80 = 684.91/x
  3. Step 3: Cross multiply
    2,145.75x = 3,218.80 × 684.91
  4. Step 4: Simplify right side
    2,145.75x = 2,204,588.31
  5. Step 5: Solve for x
    x = 2,204,588.31/2,145.75
  6. Step 6: Final answer
    x = 1,027.42

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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.