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Finding the Fourth Proportional to 1,667.72, 2,301.60 and 969.32

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Solution

The fourth proportional to 1,667.72, 2,301.60 and 969.32 is: 1,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.72 : 2,301.60 = 969.32 : x
  2. Step 2: Convert to fraction form
    1,667.72/2,301.60 = 969.32/x
  3. Step 3: Cross multiply
    1,667.72x = 2,301.60 × 969.32
  4. Step 4: Simplify right side
    1,667.72x = 2,230,986.91
  5. Step 5: Solve for x
    x = 2,230,986.91/1,667.72
  6. Step 6: Final answer
    x = 1,337.75

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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.