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Finding the Fourth Proportional to 3,111.97, 4,667.49 and 1,033.42

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Solution

The fourth proportional to 3,111.97, 4,667.49 and 1,033.42 is: 1,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.97 : 4,667.49 = 1,033.42 : x
  2. Step 2: Convert to fraction form
    3,111.97/4,667.49 = 1,033.42/x
  3. Step 3: Cross multiply
    3,111.97x = 4,667.49 × 1,033.42
  4. Step 4: Simplify right side
    3,111.97x = 4,823,477.52
  5. Step 5: Solve for x
    x = 4,823,477.52/3,111.97
  6. Step 6: Final answer
    x = 1,549.98

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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.