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Finding the Fourth Proportional to 3,155.73, 4,734 and 1,207.68

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Solution

The fourth proportional to 3,155.73, 4,734 and 1,207.68 is: 1,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.73 : 4,734 = 1,207.68 : x
  2. Step 2: Convert to fraction form
    3,155.73/4,734 = 1,207.68/x
  3. Step 3: Cross multiply
    3,155.73x = 4,734 × 1,207.68
  4. Step 4: Simplify right side
    3,155.73x = 5,717,157.12
  5. Step 5: Solve for x
    x = 5,717,157.12/3,155.73
  6. Step 6: Final answer
    x = 1,811.67

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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.