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Finding the Fourth Proportional to 2,171.65, 3,256.77 and 938.29

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Solution

The fourth proportional to 2,171.65, 3,256.77 and 938.29 is: 1,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.65 : 3,256.77 = 938.29 : x
  2. Step 2: Convert to fraction form
    2,171.65/3,256.77 = 938.29/x
  3. Step 3: Cross multiply
    2,171.65x = 3,256.77 × 938.29
  4. Step 4: Simplify right side
    2,171.65x = 3,055,794.72
  5. Step 5: Solve for x
    x = 3,055,794.72/2,171.65
  6. Step 6: Final answer
    x = 1,407.13

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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.