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Finding the Fourth Proportional to 3,186.32, 4,778.27 and 964.69

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Solution

The fourth proportional to 3,186.32, 4,778.27 and 964.69 is: 1,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.32 : 4,778.27 = 964.69 : x
  2. Step 2: Convert to fraction form
    3,186.32/4,778.27 = 964.69/x
  3. Step 3: Cross multiply
    3,186.32x = 4,778.27 × 964.69
  4. Step 4: Simplify right side
    3,186.32x = 4,609,544.46
  5. Step 5: Solve for x
    x = 4,609,544.46/3,186.32
  6. Step 6: Final answer
    x = 1,446.67

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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.