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Finding the Fourth Proportional to 2,105.37, 3,158.06 and 2,054.62

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Solution

The fourth proportional to 2,105.37, 3,158.06 and 2,054.62 is: 3,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.37 : 3,158.06 = 2,054.62 : x
  2. Step 2: Convert to fraction form
    2,105.37/3,158.06 = 2,054.62/x
  3. Step 3: Cross multiply
    2,105.37x = 3,158.06 × 2,054.62
  4. Step 4: Simplify right side
    2,105.37x = 6,488,602.96
  5. Step 5: Solve for x
    x = 6,488,602.96/2,105.37
  6. Step 6: Final answer
    x = 3,081.94

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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.