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Finding the Fourth Proportional to 2,709.30, 3,738.47 and 1,514.15

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Solution

The fourth proportional to 2,709.30, 3,738.47 and 1,514.15 is: 2,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.30 : 3,738.47 = 1,514.15 : x
  2. Step 2: Convert to fraction form
    2,709.30/3,738.47 = 1,514.15/x
  3. Step 3: Cross multiply
    2,709.30x = 3,738.47 × 1,514.15
  4. Step 4: Simplify right side
    2,709.30x = 5,660,592.11
  5. Step 5: Solve for x
    x = 5,660,592.11/2,709.30
  6. Step 6: Final answer
    x = 2,089.32

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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.