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Finding the Fourth Proportional to 2,328.89, 3,489.24 and 2,190.16

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Solution

The fourth proportional to 2,328.89, 3,489.24 and 2,190.16 is: 3,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.89 : 3,489.24 = 2,190.16 : x
  2. Step 2: Convert to fraction form
    2,328.89/3,489.24 = 2,190.16/x
  3. Step 3: Cross multiply
    2,328.89x = 3,489.24 × 2,190.16
  4. Step 4: Simplify right side
    2,328.89x = 7,641,977.59
  5. Step 5: Solve for x
    x = 7,641,977.59/2,328.89
  6. Step 6: Final answer
    x = 3,281.38

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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.