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Finding the Fourth Proportional to 3,107.36, 4,661.24 and 1,158.91

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Solution

The fourth proportional to 3,107.36, 4,661.24 and 1,158.91 is: 1,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.36 : 4,661.24 = 1,158.91 : x
  2. Step 2: Convert to fraction form
    3,107.36/4,661.24 = 1,158.91/x
  3. Step 3: Cross multiply
    3,107.36x = 4,661.24 × 1,158.91
  4. Step 4: Simplify right side
    3,107.36x = 5,401,957.65
  5. Step 5: Solve for x
    x = 5,401,957.65/3,107.36
  6. Step 6: Final answer
    x = 1,738.44

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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.