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Finding the Fourth Proportional to 2,692.67, 4,040.57 and 1,132.55

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Solution

The fourth proportional to 2,692.67, 4,040.57 and 1,132.55 is: 1,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.67 : 4,040.57 = 1,132.55 : x
  2. Step 2: Convert to fraction form
    2,692.67/4,040.57 = 1,132.55/x
  3. Step 3: Cross multiply
    2,692.67x = 4,040.57 × 1,132.55
  4. Step 4: Simplify right side
    2,692.67x = 4,576,141.89
  5. Step 5: Solve for x
    x = 4,576,141.89/2,692.67
  6. Step 6: Final answer
    x = 1,699.48

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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.