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Finding the Fourth Proportional to 2,049.04, 3,073.60 and 510

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Solution

The fourth proportional to 2,049.04, 3,073.60 and 510 is: 765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.04 : 3,073.60 = 510 : x
  2. Step 2: Convert to fraction form
    2,049.04/3,073.60 = 510/x
  3. Step 3: Cross multiply
    2,049.04x = 3,073.60 × 510
  4. Step 4: Simplify right side
    2,049.04x = 1,567,536
  5. Step 5: Solve for x
    x = 1,567,536/2,049.04
  6. Step 6: Final answer
    x = 765.01

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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.