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Finding the Fourth Proportional to 2,462.15, 3,692.41 and 901.89

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Solution

The fourth proportional to 2,462.15, 3,692.41 and 901.89 is: 1,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.15 : 3,692.41 = 901.89 : x
  2. Step 2: Convert to fraction form
    2,462.15/3,692.41 = 901.89/x
  3. Step 3: Cross multiply
    2,462.15x = 3,692.41 × 901.89
  4. Step 4: Simplify right side
    2,462.15x = 3,330,129.19
  5. Step 5: Solve for x
    x = 3,330,129.19/2,462.15
  6. Step 6: Final answer
    x = 1,352.53

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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.