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Finding the Fourth Proportional to 1,667.67, 2,301.35 and 921.66

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Solution

The fourth proportional to 1,667.67, 2,301.35 and 921.66 is: 1,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.67 : 2,301.35 = 921.66 : x
  2. Step 2: Convert to fraction form
    1,667.67/2,301.35 = 921.66/x
  3. Step 3: Cross multiply
    1,667.67x = 2,301.35 × 921.66
  4. Step 4: Simplify right side
    1,667.67x = 2,121,064.55
  5. Step 5: Solve for x
    x = 2,121,064.55/1,667.67
  6. Step 6: Final answer
    x = 1,271.87

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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.