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Finding the Fourth Proportional to 3,137.00, 4,706.30 and 1,188.14

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Solution

The fourth proportional to 3,137.00, 4,706.30 and 1,188.14 is: 1,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.00 : 4,706.30 = 1,188.14 : x
  2. Step 2: Convert to fraction form
    3,137.00/4,706.30 = 1,188.14/x
  3. Step 3: Cross multiply
    3,137.00x = 4,706.30 × 1,188.14
  4. Step 4: Simplify right side
    3,137.00x = 5,591,722.72
  5. Step 5: Solve for x
    x = 5,591,722.72/3,137.00
  6. Step 6: Final answer
    x = 1,782.51

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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.