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Finding the Fourth Proportional to 2,291.95, 3,150.73 and 1,971.75

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Solution

The fourth proportional to 2,291.95, 3,150.73 and 1,971.75 is: 2,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.95 : 3,150.73 = 1,971.75 : x
  2. Step 2: Convert to fraction form
    2,291.95/3,150.73 = 1,971.75/x
  3. Step 3: Cross multiply
    2,291.95x = 3,150.73 × 1,971.75
  4. Step 4: Simplify right side
    2,291.95x = 6,212,464.50
  5. Step 5: Solve for x
    x = 6,212,464.50/2,291.95
  6. Step 6: Final answer
    x = 2,710.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.