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Finding the Fourth Proportional to 2,971.25, 4,455.24 and 2,035.27

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Solution

The fourth proportional to 2,971.25, 4,455.24 and 2,035.27 is: 3,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.25 : 4,455.24 = 2,035.27 : x
  2. Step 2: Convert to fraction form
    2,971.25/4,455.24 = 2,035.27/x
  3. Step 3: Cross multiply
    2,971.25x = 4,455.24 × 2,035.27
  4. Step 4: Simplify right side
    2,971.25x = 9,067,616.31
  5. Step 5: Solve for x
    x = 9,067,616.31/2,971.25
  6. Step 6: Final answer
    x = 3,051.79

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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.