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Finding the Fourth Proportional to 2,906.88, 4,356.54 and 1,174.56

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Solution

The fourth proportional to 2,906.88, 4,356.54 and 1,174.56 is: 1,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.88 : 4,356.54 = 1,174.56 : x
  2. Step 2: Convert to fraction form
    2,906.88/4,356.54 = 1,174.56/x
  3. Step 3: Cross multiply
    2,906.88x = 4,356.54 × 1,174.56
  4. Step 4: Simplify right side
    2,906.88x = 5,117,017.62
  5. Step 5: Solve for x
    x = 5,117,017.62/2,906.88
  6. Step 6: Final answer
    x = 1,760.31

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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.