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Finding the Fourth Proportional to 1,667.81, 2,302.49 and 1,004.82

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Solution

The fourth proportional to 1,667.81, 2,302.49 and 1,004.82 is: 1,387.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.81 : 2,302.49 = 1,004.82 : x
  2. Step 2: Convert to fraction form
    1,667.81/2,302.49 = 1,004.82/x
  3. Step 3: Cross multiply
    1,667.81x = 2,302.49 × 1,004.82
  4. Step 4: Simplify right side
    1,667.81x = 2,313,582.98
  5. Step 5: Solve for x
    x = 2,313,582.98/1,667.81
  6. Step 6: Final answer
    x = 1,387.20

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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.