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Finding the Fourth Proportional to 4,692.63, 7,041.11 and 1,770.69

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Solution

The fourth proportional to 4,692.63, 7,041.11 and 1,770.69 is: 2,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.63 : 7,041.11 = 1,770.69 : x
  2. Step 2: Convert to fraction form
    4,692.63/7,041.11 = 1,770.69/x
  3. Step 3: Cross multiply
    4,692.63x = 7,041.11 × 1,770.69
  4. Step 4: Simplify right side
    4,692.63x = 12,467,623.07
  5. Step 5: Solve for x
    x = 12,467,623.07/4,692.63
  6. Step 6: Final answer
    x = 2,656.85

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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.