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Finding the Fourth Proportional to 3,107.00, 4,660.34 and 1,159.05

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Solution

The fourth proportional to 3,107.00, 4,660.34 and 1,159.05 is: 1,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.00 : 4,660.34 = 1,159.05 : x
  2. Step 2: Convert to fraction form
    3,107.00/4,660.34 = 1,159.05/x
  3. Step 3: Cross multiply
    3,107.00x = 4,660.34 × 1,159.05
  4. Step 4: Simplify right side
    3,107.00x = 5,401,543.78
  5. Step 5: Solve for x
    x = 5,401,543.78/3,107.00
  6. Step 6: Final answer
    x = 1,738.51

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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.