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Finding the Fourth Proportional to 1,667.97, 2,301.65 and 921.91

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Solution

The fourth proportional to 1,667.97, 2,301.65 and 921.91 is: 1,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.97 : 2,301.65 = 921.91 : x
  2. Step 2: Convert to fraction form
    1,667.97/2,301.65 = 921.91/x
  3. Step 3: Cross multiply
    1,667.97x = 2,301.65 × 921.91
  4. Step 4: Simplify right side
    1,667.97x = 2,121,921.35
  5. Step 5: Solve for x
    x = 2,121,921.35/1,667.97
  6. Step 6: Final answer
    x = 1,272.16

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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.