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Finding the Fourth Proportional to 1,667.85, 2,301.62 and 921.80

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Solution

The fourth proportional to 1,667.85, 2,301.62 and 921.80 is: 1,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.85 : 2,301.62 = 921.80 : x
  2. Step 2: Convert to fraction form
    1,667.85/2,301.62 = 921.80/x
  3. Step 3: Cross multiply
    1,667.85x = 2,301.62 × 921.80
  4. Step 4: Simplify right side
    1,667.85x = 2,121,634.46
  5. Step 5: Solve for x
    x = 2,121,634.46/1,667.85
  6. Step 6: Final answer
    x = 1,272.08

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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.