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Finding the Fourth Proportional to 2,821.13, 4,232.42 and 846.75

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Solution

The fourth proportional to 2,821.13, 4,232.42 and 846.75 is: 1,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.13 : 4,232.42 = 846.75 : x
  2. Step 2: Convert to fraction form
    2,821.13/4,232.42 = 846.75/x
  3. Step 3: Cross multiply
    2,821.13x = 4,232.42 × 846.75
  4. Step 4: Simplify right side
    2,821.13x = 3,583,797.40
  5. Step 5: Solve for x
    x = 3,583,797.40/2,821.13
  6. Step 6: Final answer
    x = 1,270.34

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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.