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Finding the Fourth Proportional to 2,331.57, 3,497.36 and 2,189.01

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Solution

The fourth proportional to 2,331.57, 3,497.36 and 2,189.01 is: 3,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.57 : 3,497.36 = 2,189.01 : x
  2. Step 2: Convert to fraction form
    2,331.57/3,497.36 = 2,189.01/x
  3. Step 3: Cross multiply
    2,331.57x = 3,497.36 × 2,189.01
  4. Step 4: Simplify right side
    2,331.57x = 7,655,745.07
  5. Step 5: Solve for x
    x = 7,655,745.07/2,331.57
  6. Step 6: Final answer
    x = 3,283.52

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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.