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Finding the Fourth Proportional to 1,667.63, 2,301.32 and 949.82

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Solution

The fourth proportional to 1,667.63, 2,301.32 and 949.82 is: 1,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.63 : 2,301.32 = 949.82 : x
  2. Step 2: Convert to fraction form
    1,667.63/2,301.32 = 949.82/x
  3. Step 3: Cross multiply
    1,667.63x = 2,301.32 × 949.82
  4. Step 4: Simplify right side
    1,667.63x = 2,185,847.89
  5. Step 5: Solve for x
    x = 2,185,847.89/1,667.63
  6. Step 6: Final answer
    x = 1,310.75

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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.