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Finding the Fourth Proportional to 2,301.08, 3,451.26 and 840.22

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Solution

The fourth proportional to 2,301.08, 3,451.26 and 840.22 is: 1,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.08 : 3,451.26 = 840.22 : x
  2. Step 2: Convert to fraction form
    2,301.08/3,451.26 = 840.22/x
  3. Step 3: Cross multiply
    2,301.08x = 3,451.26 × 840.22
  4. Step 4: Simplify right side
    2,301.08x = 2,899,817.68
  5. Step 5: Solve for x
    x = 2,899,817.68/2,301.08
  6. Step 6: Final answer
    x = 1,260.20

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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.