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Finding the Fourth Proportional to 2,175.99, 3,001.01 and 1,514.42

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Solution

The fourth proportional to 2,175.99, 3,001.01 and 1,514.42 is: 2,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.99 : 3,001.01 = 1,514.42 : x
  2. Step 2: Convert to fraction form
    2,175.99/3,001.01 = 1,514.42/x
  3. Step 3: Cross multiply
    2,175.99x = 3,001.01 × 1,514.42
  4. Step 4: Simplify right side
    2,175.99x = 4,544,789.56
  5. Step 5: Solve for x
    x = 4,544,789.56/2,175.99
  6. Step 6: Final answer
    x = 2,088.61

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Half scale
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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.