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Finding the Fourth Proportional to 2,160.96, 3,242 and 622.08

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Solution

The fourth proportional to 2,160.96, 3,242 and 622.08 is: 933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.96 : 3,242 = 622.08 : x
  2. Step 2: Convert to fraction form
    2,160.96/3,242 = 622.08/x
  3. Step 3: Cross multiply
    2,160.96x = 3,242 × 622.08
  4. Step 4: Simplify right side
    2,160.96x = 2,016,783.36
  5. Step 5: Solve for x
    x = 2,016,783.36/2,160.96
  6. Step 6: Final answer
    x = 933.28

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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.