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Finding the Fourth Proportional to 2,301.14, 3,451.86 and 840.11

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Solution

The fourth proportional to 2,301.14, 3,451.86 and 840.11 is: 1,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.14 : 3,451.86 = 840.11 : x
  2. Step 2: Convert to fraction form
    2,301.14/3,451.86 = 840.11/x
  3. Step 3: Cross multiply
    2,301.14x = 3,451.86 × 840.11
  4. Step 4: Simplify right side
    2,301.14x = 2,899,924.85
  5. Step 5: Solve for x
    x = 2,899,924.85/2,301.14
  6. Step 6: Final answer
    x = 1,260.21

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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.