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Finding the Fourth Proportional to 2,094.21, 3,138.60 and 860.22

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Solution

The fourth proportional to 2,094.21, 3,138.60 and 860.22 is: 1,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.21 : 3,138.60 = 860.22 : x
  2. Step 2: Convert to fraction form
    2,094.21/3,138.60 = 860.22/x
  3. Step 3: Cross multiply
    2,094.21x = 3,138.60 × 860.22
  4. Step 4: Simplify right side
    2,094.21x = 2,699,886.49
  5. Step 5: Solve for x
    x = 2,699,886.49/2,094.21
  6. Step 6: Final answer
    x = 1,289.21

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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.