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Finding the Fourth Proportional to 3,381.61, 5,072.24 and 1,190.35

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Solution

The fourth proportional to 3,381.61, 5,072.24 and 1,190.35 is: 1,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.61 : 5,072.24 = 1,190.35 : x
  2. Step 2: Convert to fraction form
    3,381.61/5,072.24 = 1,190.35/x
  3. Step 3: Cross multiply
    3,381.61x = 5,072.24 × 1,190.35
  4. Step 4: Simplify right side
    3,381.61x = 6,037,734.93
  5. Step 5: Solve for x
    x = 6,037,734.93/3,381.61
  6. Step 6: Final answer
    x = 1,785.46

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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.