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Finding the Fourth Proportional to 2,261.06, 3,391.56 and 945.52

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Solution

The fourth proportional to 2,261.06, 3,391.56 and 945.52 is: 1,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.06 : 3,391.56 = 945.52 : x
  2. Step 2: Convert to fraction form
    2,261.06/3,391.56 = 945.52/x
  3. Step 3: Cross multiply
    2,261.06x = 3,391.56 × 945.52
  4. Step 4: Simplify right side
    2,261.06x = 3,206,787.81
  5. Step 5: Solve for x
    x = 3,206,787.81/2,261.06
  6. Step 6: Final answer
    x = 1,418.27

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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.