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Finding the Fourth Proportional to 3,770.46, 5,656.90 and 1,692.26

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Solution

The fourth proportional to 3,770.46, 5,656.90 and 1,692.26 is: 2,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.46 : 5,656.90 = 1,692.26 : x
  2. Step 2: Convert to fraction form
    3,770.46/5,656.90 = 1,692.26/x
  3. Step 3: Cross multiply
    3,770.46x = 5,656.90 × 1,692.26
  4. Step 4: Simplify right side
    3,770.46x = 9,572,945.59
  5. Step 5: Solve for x
    x = 9,572,945.59/3,770.46
  6. Step 6: Final answer
    x = 2,538.93

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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.