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Finding the Fourth Proportional to 1,667.75, 2,301.50 and 969.17

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Solution

The fourth proportional to 1,667.75, 2,301.50 and 969.17 is: 1,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.75 : 2,301.50 = 969.17 : x
  2. Step 2: Convert to fraction form
    1,667.75/2,301.50 = 969.17/x
  3. Step 3: Cross multiply
    1,667.75x = 2,301.50 × 969.17
  4. Step 4: Simplify right side
    1,667.75x = 2,230,544.76
  5. Step 5: Solve for x
    x = 2,230,544.76/1,667.75
  6. Step 6: Final answer
    x = 1,337.46

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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.