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Finding the Fourth Proportional to 2,514.28, 3,473.09 and 1,932.09

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Solution

The fourth proportional to 2,514.28, 3,473.09 and 1,932.09 is: 2,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.28 : 3,473.09 = 1,932.09 : x
  2. Step 2: Convert to fraction form
    2,514.28/3,473.09 = 1,932.09/x
  3. Step 3: Cross multiply
    2,514.28x = 3,473.09 × 1,932.09
  4. Step 4: Simplify right side
    2,514.28x = 6,710,312.80
  5. Step 5: Solve for x
    x = 6,710,312.80/2,514.28
  6. Step 6: Final answer
    x = 2,668.89

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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.