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Finding the Fourth Proportional to 2,709.36, 4,059.80 and 2,094.58

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Solution

The fourth proportional to 2,709.36, 4,059.80 and 2,094.58 is: 3,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.36 : 4,059.80 = 2,094.58 : x
  2. Step 2: Convert to fraction form
    2,709.36/4,059.80 = 2,094.58/x
  3. Step 3: Cross multiply
    2,709.36x = 4,059.80 × 2,094.58
  4. Step 4: Simplify right side
    2,709.36x = 8,503,575.88
  5. Step 5: Solve for x
    x = 8,503,575.88/2,709.36
  6. Step 6: Final answer
    x = 3,138.59

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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.