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Finding the Fourth Proportional to 2,361.81, 3,537.31 and 1,130.09

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Solution

The fourth proportional to 2,361.81, 3,537.31 and 1,130.09 is: 1,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.81 : 3,537.31 = 1,130.09 : x
  2. Step 2: Convert to fraction form
    2,361.81/3,537.31 = 1,130.09/x
  3. Step 3: Cross multiply
    2,361.81x = 3,537.31 × 1,130.09
  4. Step 4: Simplify right side
    2,361.81x = 3,997,478.66
  5. Step 5: Solve for x
    x = 3,997,478.66/2,361.81
  6. Step 6: Final answer
    x = 1,692.55

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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.