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Finding the Fourth Proportional to 2,142.98, 3,216.29 and 845.36

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Solution

The fourth proportional to 2,142.98, 3,216.29 and 845.36 is: 1,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.98 : 3,216.29 = 845.36 : x
  2. Step 2: Convert to fraction form
    2,142.98/3,216.29 = 845.36/x
  3. Step 3: Cross multiply
    2,142.98x = 3,216.29 × 845.36
  4. Step 4: Simplify right side
    2,142.98x = 2,718,922.91
  5. Step 5: Solve for x
    x = 2,718,922.91/2,142.98
  6. Step 6: Final answer
    x = 1,268.76

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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.