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Finding the Fourth Proportional to 3,107.96, 4,660.44 and 1,133.52

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Solution

The fourth proportional to 3,107.96, 4,660.44 and 1,133.52 is: 1,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.96 : 4,660.44 = 1,133.52 : x
  2. Step 2: Convert to fraction form
    3,107.96/4,660.44 = 1,133.52/x
  3. Step 3: Cross multiply
    3,107.96x = 4,660.44 × 1,133.52
  4. Step 4: Simplify right side
    3,107.96x = 5,282,701.95
  5. Step 5: Solve for x
    x = 5,282,701.95/3,107.96
  6. Step 6: Final answer
    x = 1,699.73

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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.