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Finding the Fourth Proportional to 3,107.29, 4,660.94 and 2,130.43

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Solution

The fourth proportional to 3,107.29, 4,660.94 and 2,130.43 is: 3,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.29 : 4,660.94 = 2,130.43 : x
  2. Step 2: Convert to fraction form
    3,107.29/4,660.94 = 2,130.43/x
  3. Step 3: Cross multiply
    3,107.29x = 4,660.94 × 2,130.43
  4. Step 4: Simplify right side
    3,107.29x = 9,929,806.40
  5. Step 5: Solve for x
    x = 9,929,806.40/3,107.29
  6. Step 6: Final answer
    x = 3,195.65

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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.