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Finding the Fourth Proportional to 2,269.94, 3,395.67 and 2,027.00

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Solution

The fourth proportional to 2,269.94, 3,395.67 and 2,027.00 is: 3,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.94 : 3,395.67 = 2,027.00 : x
  2. Step 2: Convert to fraction form
    2,269.94/3,395.67 = 2,027.00/x
  3. Step 3: Cross multiply
    2,269.94x = 3,395.67 × 2,027.00
  4. Step 4: Simplify right side
    2,269.94x = 6,883,006.11
  5. Step 5: Solve for x
    x = 6,883,006.11/2,269.94
  6. Step 6: Final answer
    x = 3,032.25

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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.