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Finding the Fourth Proportional to 3,109.46, 4,662.72 and 1,133.69

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Solution

The fourth proportional to 3,109.46, 4,662.72 and 1,133.69 is: 1,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.46 : 4,662.72 = 1,133.69 : x
  2. Step 2: Convert to fraction form
    3,109.46/4,662.72 = 1,133.69/x
  3. Step 3: Cross multiply
    3,109.46x = 4,662.72 × 1,133.69
  4. Step 4: Simplify right side
    3,109.46x = 5,286,073.37
  5. Step 5: Solve for x
    x = 5,286,073.37/3,109.46
  6. Step 6: Final answer
    x = 1,700.00

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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.