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Finding the Fourth Proportional to 1,667.82, 2,302.20 and 1,004.70

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Solution

The fourth proportional to 1,667.82, 2,302.20 and 1,004.70 is: 1,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.82 : 2,302.20 = 1,004.70 : x
  2. Step 2: Convert to fraction form
    1,667.82/2,302.20 = 1,004.70/x
  3. Step 3: Cross multiply
    1,667.82x = 2,302.20 × 1,004.70
  4. Step 4: Simplify right side
    1,667.82x = 2,313,020.34
  5. Step 5: Solve for x
    x = 2,313,020.34/1,667.82
  6. Step 6: Final answer
    x = 1,386.85

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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.