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Finding the Fourth Proportional to 2,514.29, 3,470.00 and 1,520.42

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Solution

The fourth proportional to 2,514.29, 3,470.00 and 1,520.42 is: 2,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.29 : 3,470.00 = 1,520.42 : x
  2. Step 2: Convert to fraction form
    2,514.29/3,470.00 = 1,520.42/x
  3. Step 3: Cross multiply
    2,514.29x = 3,470.00 × 1,520.42
  4. Step 4: Simplify right side
    2,514.29x = 5,275,832.45
  5. Step 5: Solve for x
    x = 5,275,832.45/2,514.29
  6. Step 6: Final answer
    x = 2,098.34

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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.