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Finding the Fourth Proportional to 3,187.95, 4,782.70 and 1,107.66

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Solution

The fourth proportional to 3,187.95, 4,782.70 and 1,107.66 is: 1,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.95 : 4,782.70 = 1,107.66 : x
  2. Step 2: Convert to fraction form
    3,187.95/4,782.70 = 1,107.66/x
  3. Step 3: Cross multiply
    3,187.95x = 4,782.70 × 1,107.66
  4. Step 4: Simplify right side
    3,187.95x = 5,297,588.93
  5. Step 5: Solve for x
    x = 5,297,588.93/3,187.95
  6. Step 6: Final answer
    x = 1,661.75

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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.