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Finding the Fourth Proportional to 2,063.76, 3,096.60 and 1,446

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Solution

The fourth proportional to 2,063.76, 3,096.60 and 1,446 is: 2,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.76 : 3,096.60 = 1,446 : x
  2. Step 2: Convert to fraction form
    2,063.76/3,096.60 = 1,446/x
  3. Step 3: Cross multiply
    2,063.76x = 3,096.60 × 1,446
  4. Step 4: Simplify right side
    2,063.76x = 4,477,683.60
  5. Step 5: Solve for x
    x = 4,477,683.60/2,063.76
  6. Step 6: Final answer
    x = 2,169.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.