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Finding the Fourth Proportional to 2,094.09, 3,140.06 and 861.27

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Solution

The fourth proportional to 2,094.09, 3,140.06 and 861.27 is: 1,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.09 : 3,140.06 = 861.27 : x
  2. Step 2: Convert to fraction form
    2,094.09/3,140.06 = 861.27/x
  3. Step 3: Cross multiply
    2,094.09x = 3,140.06 × 861.27
  4. Step 4: Simplify right side
    2,094.09x = 2,704,435.17
  5. Step 5: Solve for x
    x = 2,704,435.17/2,094.09
  6. Step 6: Final answer
    x = 1,291.46

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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.