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Finding the Fourth Proportional to 2,160.36, 3,238.02 and 773.28

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Solution

The fourth proportional to 2,160.36, 3,238.02 and 773.28 is: 1,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.36 : 3,238.02 = 773.28 : x
  2. Step 2: Convert to fraction form
    2,160.36/3,238.02 = 773.28/x
  3. Step 3: Cross multiply
    2,160.36x = 3,238.02 × 773.28
  4. Step 4: Simplify right side
    2,160.36x = 2,503,896.11
  5. Step 5: Solve for x
    x = 2,503,896.11/2,160.36
  6. Step 6: Final answer
    x = 1,159.02

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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.