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Finding the Fourth Proportional to 1,381.42, 1,906.76 and 1,103.59

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Solution

The fourth proportional to 1,381.42, 1,906.76 and 1,103.59 is: 1,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.42 : 1,906.76 = 1,103.59 : x
  2. Step 2: Convert to fraction form
    1,381.42/1,906.76 = 1,103.59/x
  3. Step 3: Cross multiply
    1,381.42x = 1,906.76 × 1,103.59
  4. Step 4: Simplify right side
    1,381.42x = 2,104,266.22
  5. Step 5: Solve for x
    x = 2,104,266.22/1,381.42
  6. Step 6: Final answer
    x = 1,523.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.