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Finding the Fourth Proportional to 1,667.16, 2,300.67 and 1,004.04

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Solution

The fourth proportional to 1,667.16, 2,300.67 and 1,004.04 is: 1,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.16 : 2,300.67 = 1,004.04 : x
  2. Step 2: Convert to fraction form
    1,667.16/2,300.67 = 1,004.04/x
  3. Step 3: Cross multiply
    1,667.16x = 2,300.67 × 1,004.04
  4. Step 4: Simplify right side
    1,667.16x = 2,309,964.71
  5. Step 5: Solve for x
    x = 2,309,964.71/1,667.16
  6. Step 6: Final answer
    x = 1,385.57

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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.