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Finding the Fourth Proportional to 2,462.99, 3,692.53 and 1,421.82

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Solution

The fourth proportional to 2,462.99, 3,692.53 and 1,421.82 is: 2,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.99 : 3,692.53 = 1,421.82 : x
  2. Step 2: Convert to fraction form
    2,462.99/3,692.53 = 1,421.82/x
  3. Step 3: Cross multiply
    2,462.99x = 3,692.53 × 1,421.82
  4. Step 4: Simplify right side
    2,462.99x = 5,250,094.54
  5. Step 5: Solve for x
    x = 5,250,094.54/2,462.99
  6. Step 6: Final answer
    x = 2,131.59

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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.