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Finding the Fourth Proportional to 1,381.61, 1,906.81 and 792.03

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Solution

The fourth proportional to 1,381.61, 1,906.81 and 792.03 is: 1,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.61 : 1,906.81 = 792.03 : x
  2. Step 2: Convert to fraction form
    1,381.61/1,906.81 = 792.03/x
  3. Step 3: Cross multiply
    1,381.61x = 1,906.81 × 792.03
  4. Step 4: Simplify right side
    1,381.61x = 1,510,255.89
  5. Step 5: Solve for x
    x = 1,510,255.89/1,381.61
  6. Step 6: Final answer
    x = 1,093.11

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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.