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Finding the Fourth Proportional to 3,381.84, 5,071.44 and 1,190.16

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Solution

The fourth proportional to 3,381.84, 5,071.44 and 1,190.16 is: 1,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.84 : 5,071.44 = 1,190.16 : x
  2. Step 2: Convert to fraction form
    3,381.84/5,071.44 = 1,190.16/x
  3. Step 3: Cross multiply
    3,381.84x = 5,071.44 × 1,190.16
  4. Step 4: Simplify right side
    3,381.84x = 6,035,825.03
  5. Step 5: Solve for x
    x = 6,035,825.03/3,381.84
  6. Step 6: Final answer
    x = 1,784.78

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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.