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Finding the Fourth Proportional to 2,812.95, 4,216.01 and 1,991.46

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Solution

The fourth proportional to 2,812.95, 4,216.01 and 1,991.46 is: 2,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.95 : 4,216.01 = 1,991.46 : x
  2. Step 2: Convert to fraction form
    2,812.95/4,216.01 = 1,991.46/x
  3. Step 3: Cross multiply
    2,812.95x = 4,216.01 × 1,991.46
  4. Step 4: Simplify right side
    2,812.95x = 8,396,005.32
  5. Step 5: Solve for x
    x = 8,396,005.32/2,812.95
  6. Step 6: Final answer
    x = 2,984.77

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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.