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Finding the Fourth Proportional to 2,238.94, 3,355.34 and 1,141.00

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Solution

The fourth proportional to 2,238.94, 3,355.34 and 1,141.00 is: 1,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.94 : 3,355.34 = 1,141.00 : x
  2. Step 2: Convert to fraction form
    2,238.94/3,355.34 = 1,141.00/x
  3. Step 3: Cross multiply
    2,238.94x = 3,355.34 × 1,141.00
  4. Step 4: Simplify right side
    2,238.94x = 3,828,435.17
  5. Step 5: Solve for x
    x = 3,828,435.17/2,238.94
  6. Step 6: Final answer
    x = 1,709.93

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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.