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Finding the Fourth Proportional to 3,505.95, 5,249.21 and 1,770.93

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Solution

The fourth proportional to 3,505.95, 5,249.21 and 1,770.93 is: 2,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.95 : 5,249.21 = 1,770.93 : x
  2. Step 2: Convert to fraction form
    3,505.95/5,249.21 = 1,770.93/x
  3. Step 3: Cross multiply
    3,505.95x = 5,249.21 × 1,770.93
  4. Step 4: Simplify right side
    3,505.95x = 9,295,974.61
  5. Step 5: Solve for x
    x = 9,295,974.61/3,505.95
  6. Step 6: Final answer
    x = 2,651.49

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1.5x scale

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.