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Finding the Fourth Proportional to 3,164.16, 4,748.16 and 1,112

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Solution

The fourth proportional to 3,164.16, 4,748.16 and 1,112 is: 1,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.16 : 4,748.16 = 1,112 : x
  2. Step 2: Convert to fraction form
    3,164.16/4,748.16 = 1,112/x
  3. Step 3: Cross multiply
    3,164.16x = 4,748.16 × 1,112
  4. Step 4: Simplify right side
    3,164.16x = 5,279,953.92
  5. Step 5: Solve for x
    x = 5,279,953.92/3,164.16
  6. Step 6: Final answer
    x = 1,668.67

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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.