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Finding the Fourth Proportional to 2,188.28, 3,015.09 and 1,745.42

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Solution

The fourth proportional to 2,188.28, 3,015.09 and 1,745.42 is: 2,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.28 : 3,015.09 = 1,745.42 : x
  2. Step 2: Convert to fraction form
    2,188.28/3,015.09 = 1,745.42/x
  3. Step 3: Cross multiply
    2,188.28x = 3,015.09 × 1,745.42
  4. Step 4: Simplify right side
    2,188.28x = 5,262,583.31
  5. Step 5: Solve for x
    x = 5,262,583.31/2,188.28
  6. Step 6: Final answer
    x = 2,404.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.