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Finding the Fourth Proportional to 1,667.13, 2,300.73 and 959.00

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Solution

The fourth proportional to 1,667.13, 2,300.73 and 959.00 is: 1,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.13 : 2,300.73 = 959.00 : x
  2. Step 2: Convert to fraction form
    1,667.13/2,300.73 = 959.00/x
  3. Step 3: Cross multiply
    1,667.13x = 2,300.73 × 959.00
  4. Step 4: Simplify right side
    1,667.13x = 2,206,388.57
  5. Step 5: Solve for x
    x = 2,206,388.57/1,667.13
  6. Step 6: Final answer
    x = 1,323.47

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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.