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Finding the Fourth Proportional to 2,049.94, 3,074.92 and 510.94

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Solution

The fourth proportional to 2,049.94, 3,074.92 and 510.94 is: 766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.94 : 3,074.92 = 510.94 : x
  2. Step 2: Convert to fraction form
    2,049.94/3,074.92 = 510.94/x
  3. Step 3: Cross multiply
    2,049.94x = 3,074.92 × 510.94
  4. Step 4: Simplify right side
    2,049.94x = 1,571,090.66
  5. Step 5: Solve for x
    x = 1,571,090.66/2,049.94
  6. Step 6: Final answer
    x = 766.41

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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.