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Finding the Fourth Proportional to 3,105.54, 4,661.23 and 1,133.07

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Solution

The fourth proportional to 3,105.54, 4,661.23 and 1,133.07 is: 1,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.54 : 4,661.23 = 1,133.07 : x
  2. Step 2: Convert to fraction form
    3,105.54/4,661.23 = 1,133.07/x
  3. Step 3: Cross multiply
    3,105.54x = 4,661.23 × 1,133.07
  4. Step 4: Simplify right side
    3,105.54x = 5,281,499.88
  5. Step 5: Solve for x
    x = 5,281,499.88/3,105.54
  6. Step 6: Final answer
    x = 1,700.67

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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.