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Finding the Fourth Proportional to 3,191.00, 4,783.91 and 1,434.71

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Solution

The fourth proportional to 3,191.00, 4,783.91 and 1,434.71 is: 2,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.00 : 4,783.91 = 1,434.71 : x
  2. Step 2: Convert to fraction form
    3,191.00/4,783.91 = 1,434.71/x
  3. Step 3: Cross multiply
    3,191.00x = 4,783.91 × 1,434.71
  4. Step 4: Simplify right side
    3,191.00x = 6,863,536.37
  5. Step 5: Solve for x
    x = 6,863,536.37/3,191.00
  6. Step 6: Final answer
    x = 2,150.91

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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.