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Finding the Fourth Proportional to 2,049.95, 3,074.93 and 625.20

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Solution

The fourth proportional to 2,049.95, 3,074.93 and 625.20 is: 937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.95 : 3,074.93 = 625.20 : x
  2. Step 2: Convert to fraction form
    2,049.95/3,074.93 = 625.20/x
  3. Step 3: Cross multiply
    2,049.95x = 3,074.93 × 625.20
  4. Step 4: Simplify right side
    2,049.95x = 1,922,446.24
  5. Step 5: Solve for x
    x = 1,922,446.24/2,049.95
  6. Step 6: Final answer
    x = 937.80

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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.