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Finding the Fourth Proportional to 3,962.34, 5,942.97 and 1,770.48

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Solution

The fourth proportional to 3,962.34, 5,942.97 and 1,770.48 is: 2,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.34 : 5,942.97 = 1,770.48 : x
  2. Step 2: Convert to fraction form
    3,962.34/5,942.97 = 1,770.48/x
  3. Step 3: Cross multiply
    3,962.34x = 5,942.97 × 1,770.48
  4. Step 4: Simplify right side
    3,962.34x = 10,521,909.53
  5. Step 5: Solve for x
    x = 10,521,909.53/3,962.34
  6. Step 6: Final answer
    x = 2,655.48

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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.