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Finding the Fourth Proportional to 4,463.65, 6,692.77 and 1,998.01

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Solution

The fourth proportional to 4,463.65, 6,692.77 and 1,998.01 is: 2,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.65 : 6,692.77 = 1,998.01 : x
  2. Step 2: Convert to fraction form
    4,463.65/6,692.77 = 1,998.01/x
  3. Step 3: Cross multiply
    4,463.65x = 6,692.77 × 1,998.01
  4. Step 4: Simplify right side
    4,463.65x = 13,372,221.39
  5. Step 5: Solve for x
    x = 13,372,221.39/4,463.65
  6. Step 6: Final answer
    x = 2,995.80

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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.