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Finding the Fourth Proportional to 2,129.44, 3,194.02 and 1,307.84

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Solution

The fourth proportional to 2,129.44, 3,194.02 and 1,307.84 is: 1,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.44 : 3,194.02 = 1,307.84 : x
  2. Step 2: Convert to fraction form
    2,129.44/3,194.02 = 1,307.84/x
  3. Step 3: Cross multiply
    2,129.44x = 3,194.02 × 1,307.84
  4. Step 4: Simplify right side
    2,129.44x = 4,177,267.12
  5. Step 5: Solve for x
    x = 4,177,267.12/2,129.44
  6. Step 6: Final answer
    x = 1,961.67

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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.