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Finding the Fourth Proportional to 3,165.33, 4,749.74 and 1,190.87

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Solution

The fourth proportional to 3,165.33, 4,749.74 and 1,190.87 is: 1,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.33 : 4,749.74 = 1,190.87 : x
  2. Step 2: Convert to fraction form
    3,165.33/4,749.74 = 1,190.87/x
  3. Step 3: Cross multiply
    3,165.33x = 4,749.74 × 1,190.87
  4. Step 4: Simplify right side
    3,165.33x = 5,656,302.10
  5. Step 5: Solve for x
    x = 5,656,302.10/3,165.33
  6. Step 6: Final answer
    x = 1,786.95

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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.