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Finding the Fourth Proportional to 2,030.37, 3,043.84 and 861.27

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Solution

The fourth proportional to 2,030.37, 3,043.84 and 861.27 is: 1,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.37 : 3,043.84 = 861.27 : x
  2. Step 2: Convert to fraction form
    2,030.37/3,043.84 = 861.27/x
  3. Step 3: Cross multiply
    2,030.37x = 3,043.84 × 861.27
  4. Step 4: Simplify right side
    2,030.37x = 2,621,568.08
  5. Step 5: Solve for x
    x = 2,621,568.08/2,030.37
  6. Step 6: Final answer
    x = 1,291.18

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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.