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Finding the Fourth Proportional to 2,353.95, 3,530.97 and 793.98

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Solution

The fourth proportional to 2,353.95, 3,530.97 and 793.98 is: 1,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.95 : 3,530.97 = 793.98 : x
  2. Step 2: Convert to fraction form
    2,353.95/3,530.97 = 793.98/x
  3. Step 3: Cross multiply
    2,353.95x = 3,530.97 × 793.98
  4. Step 4: Simplify right side
    2,353.95x = 2,803,519.56
  5. Step 5: Solve for x
    x = 2,803,519.56/2,353.95
  6. Step 6: Final answer
    x = 1,190.99

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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.