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Finding the Fourth Proportional to 3,382.09, 4,667.54 and 1,946.90

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Solution

The fourth proportional to 3,382.09, 4,667.54 and 1,946.90 is: 2,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.09 : 4,667.54 = 1,946.90 : x
  2. Step 2: Convert to fraction form
    3,382.09/4,667.54 = 1,946.90/x
  3. Step 3: Cross multiply
    3,382.09x = 4,667.54 × 1,946.90
  4. Step 4: Simplify right side
    3,382.09x = 9,087,233.63
  5. Step 5: Solve for x
    x = 9,087,233.63/3,382.09
  6. Step 6: Final answer
    x = 2,686.87

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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.