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Finding the Fourth Proportional to 4,692.74, 7,041 and 1,771.88

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Solution

The fourth proportional to 4,692.74, 7,041 and 1,771.88 is: 2,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.74 : 7,041 = 1,771.88 : x
  2. Step 2: Convert to fraction form
    4,692.74/7,041 = 1,771.88/x
  3. Step 3: Cross multiply
    4,692.74x = 7,041 × 1,771.88
  4. Step 4: Simplify right side
    4,692.74x = 12,475,807.08
  5. Step 5: Solve for x
    x = 12,475,807.08/4,692.74
  6. Step 6: Final answer
    x = 2,658.53

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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.