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Finding the Fourth Proportional to 1,667.28, 2,300.68 and 968.48

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Solution

The fourth proportional to 1,667.28, 2,300.68 and 968.48 is: 1,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.28 : 2,300.68 = 968.48 : x
  2. Step 2: Convert to fraction form
    1,667.28/2,300.68 = 968.48/x
  3. Step 3: Cross multiply
    1,667.28x = 2,300.68 × 968.48
  4. Step 4: Simplify right side
    1,667.28x = 2,228,162.57
  5. Step 5: Solve for x
    x = 2,228,162.57/1,667.28
  6. Step 6: Final answer
    x = 1,336.41

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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.