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Finding the Fourth Proportional to 2,462.47, 3,692.31 and 999.91

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Solution

The fourth proportional to 2,462.47, 3,692.31 and 999.91 is: 1,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.47 : 3,692.31 = 999.91 : x
  2. Step 2: Convert to fraction form
    2,462.47/3,692.31 = 999.91/x
  3. Step 3: Cross multiply
    2,462.47x = 3,692.31 × 999.91
  4. Step 4: Simplify right side
    2,462.47x = 3,691,977.69
  5. Step 5: Solve for x
    x = 3,691,977.69/2,462.47
  6. Step 6: Final answer
    x = 1,499.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.