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Finding the Fourth Proportional to 2,361.91, 3,537.49 and 1,130.20

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Solution

The fourth proportional to 2,361.91, 3,537.49 and 1,130.20 is: 1,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.91 : 3,537.49 = 1,130.20 : x
  2. Step 2: Convert to fraction form
    2,361.91/3,537.49 = 1,130.20/x
  3. Step 3: Cross multiply
    2,361.91x = 3,537.49 × 1,130.20
  4. Step 4: Simplify right side
    2,361.91x = 3,998,081.55
  5. Step 5: Solve for x
    x = 3,998,081.55/2,361.91
  6. Step 6: Final answer
    x = 1,692.73

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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.