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Finding the Fourth Proportional to 3,033.82, 4,549.41 and 1,277.94

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Solution

The fourth proportional to 3,033.82, 4,549.41 and 1,277.94 is: 1,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.82 : 4,549.41 = 1,277.94 : x
  2. Step 2: Convert to fraction form
    3,033.82/4,549.41 = 1,277.94/x
  3. Step 3: Cross multiply
    3,033.82x = 4,549.41 × 1,277.94
  4. Step 4: Simplify right side
    3,033.82x = 5,813,873.02
  5. Step 5: Solve for x
    x = 5,813,873.02/3,033.82
  6. Step 6: Final answer
    x = 1,916.36

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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.