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Finding the Fourth Proportional to 2,049.08, 3,073.61 and 510.08

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Solution

The fourth proportional to 2,049.08, 3,073.61 and 510.08 is: 765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.08 : 3,073.61 = 510.08 : x
  2. Step 2: Convert to fraction form
    2,049.08/3,073.61 = 510.08/x
  3. Step 3: Cross multiply
    2,049.08x = 3,073.61 × 510.08
  4. Step 4: Simplify right side
    2,049.08x = 1,567,786.99
  5. Step 5: Solve for x
    x = 1,567,786.99/2,049.08
  6. Step 6: Final answer
    x = 765.12

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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.