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Finding the Fourth Proportional to 2,463.69, 3,692.62 and 1,368.97

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Solution

The fourth proportional to 2,463.69, 3,692.62 and 1,368.97 is: 2,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.69 : 3,692.62 = 1,368.97 : x
  2. Step 2: Convert to fraction form
    2,463.69/3,692.62 = 1,368.97/x
  3. Step 3: Cross multiply
    2,463.69x = 3,692.62 × 1,368.97
  4. Step 4: Simplify right side
    2,463.69x = 5,055,086.00
  5. Step 5: Solve for x
    x = 5,055,086.00/2,463.69
  6. Step 6: Final answer
    x = 2,051.84

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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.