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Finding the Fourth Proportional to 4,692.42, 7,039.39 and 1,770.95

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Solution

The fourth proportional to 4,692.42, 7,039.39 and 1,770.95 is: 2,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.42 : 7,039.39 = 1,770.95 : x
  2. Step 2: Convert to fraction form
    4,692.42/7,039.39 = 1,770.95/x
  3. Step 3: Cross multiply
    4,692.42x = 7,039.39 × 1,770.95
  4. Step 4: Simplify right side
    4,692.42x = 12,466,407.72
  5. Step 5: Solve for x
    x = 12,466,407.72/4,692.42
  6. Step 6: Final answer
    x = 2,656.71

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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.