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Finding the Fourth Proportional to 3,033.77, 4,185.07 and 1,774.01

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Solution

The fourth proportional to 3,033.77, 4,185.07 and 1,774.01 is: 2,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.77 : 4,185.07 = 1,774.01 : x
  2. Step 2: Convert to fraction form
    3,033.77/4,185.07 = 1,774.01/x
  3. Step 3: Cross multiply
    3,033.77x = 4,185.07 × 1,774.01
  4. Step 4: Simplify right side
    3,033.77x = 7,424,326.24
  5. Step 5: Solve for x
    x = 7,424,326.24/3,033.77
  6. Step 6: Final answer
    x = 2,447.23

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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.