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Finding the Fourth Proportional to 2,282.37, 3,424.37 and 801.81

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Solution

The fourth proportional to 2,282.37, 3,424.37 and 801.81 is: 1,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.37 : 3,424.37 = 801.81 : x
  2. Step 2: Convert to fraction form
    2,282.37/3,424.37 = 801.81/x
  3. Step 3: Cross multiply
    2,282.37x = 3,424.37 × 801.81
  4. Step 4: Simplify right side
    2,282.37x = 2,745,690.10
  5. Step 5: Solve for x
    x = 2,745,690.10/2,282.37
  6. Step 6: Final answer
    x = 1,203.00

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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.