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Finding the Fourth Proportional to 1,667.28, 2,299.76 and 1,003.68

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Solution

The fourth proportional to 1,667.28, 2,299.76 and 1,003.68 is: 1,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.28 : 2,299.76 = 1,003.68 : x
  2. Step 2: Convert to fraction form
    1,667.28/2,299.76 = 1,003.68/x
  3. Step 3: Cross multiply
    1,667.28x = 2,299.76 × 1,003.68
  4. Step 4: Simplify right side
    1,667.28x = 2,308,223.12
  5. Step 5: Solve for x
    x = 2,308,223.12/1,667.28
  6. Step 6: Final answer
    x = 1,384.42

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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.