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Finding the Fourth Proportional to 3,190.66, 4,785.80 and 1,900.34

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Solution

The fourth proportional to 3,190.66, 4,785.80 and 1,900.34 is: 2,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.66 : 4,785.80 = 1,900.34 : x
  2. Step 2: Convert to fraction form
    3,190.66/4,785.80 = 1,900.34/x
  3. Step 3: Cross multiply
    3,190.66x = 4,785.80 × 1,900.34
  4. Step 4: Simplify right side
    3,190.66x = 9,094,647.17
  5. Step 5: Solve for x
    x = 9,094,647.17/3,190.66
  6. Step 6: Final answer
    x = 2,850.40

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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.