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Finding the Fourth Proportional to 3,449, 4,759.62 and 1,977

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Solution

The fourth proportional to 3,449, 4,759.62 and 1,977 is: 2,728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449 : 4,759.62 = 1,977 : x
  2. Step 2: Convert to fraction form
    3,449/4,759.62 = 1,977/x
  3. Step 3: Cross multiply
    3,449x = 4,759.62 × 1,977
  4. Step 4: Simplify right side
    3,449x = 9,409,768.74
  5. Step 5: Solve for x
    x = 9,409,768.74/3,449
  6. Step 6: Final answer
    x = 2,728.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.