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Finding the Fourth Proportional to 3,111.35, 4,667.02 and 921.71

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Solution

The fourth proportional to 3,111.35, 4,667.02 and 921.71 is: 1,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.35 : 4,667.02 = 921.71 : x
  2. Step 2: Convert to fraction form
    3,111.35/4,667.02 = 921.71/x
  3. Step 3: Cross multiply
    3,111.35x = 4,667.02 × 921.71
  4. Step 4: Simplify right side
    3,111.35x = 4,301,648.37
  5. Step 5: Solve for x
    x = 4,301,648.37/3,111.35
  6. Step 6: Final answer
    x = 1,382.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.