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Finding the Fourth Proportional to 3,171.53, 4,376.73 and 1,774.28

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Solution

The fourth proportional to 3,171.53, 4,376.73 and 1,774.28 is: 2,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.53 : 4,376.73 = 1,774.28 : x
  2. Step 2: Convert to fraction form
    3,171.53/4,376.73 = 1,774.28/x
  3. Step 3: Cross multiply
    3,171.53x = 4,376.73 × 1,774.28
  4. Step 4: Simplify right side
    3,171.53x = 7,765,544.50
  5. Step 5: Solve for x
    x = 7,765,544.50/3,171.53
  6. Step 6: Final answer
    x = 2,448.52

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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.