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Finding the Fourth Proportional to 1,361.08, 2,038.74 and 1,129.42

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Solution

The fourth proportional to 1,361.08, 2,038.74 and 1,129.42 is: 1,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.08 : 2,038.74 = 1,129.42 : x
  2. Step 2: Convert to fraction form
    1,361.08/2,038.74 = 1,129.42/x
  3. Step 3: Cross multiply
    1,361.08x = 2,038.74 × 1,129.42
  4. Step 4: Simplify right side
    1,361.08x = 2,302,593.73
  5. Step 5: Solve for x
    x = 2,302,593.73/1,361.08
  6. Step 6: Final answer
    x = 1,691.74

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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.