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Finding the Fourth Proportional to 2,171.10, 3,256.92 and 938.01

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Solution

The fourth proportional to 2,171.10, 3,256.92 and 938.01 is: 1,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.10 : 3,256.92 = 938.01 : x
  2. Step 2: Convert to fraction form
    2,171.10/3,256.92 = 938.01/x
  3. Step 3: Cross multiply
    2,171.10x = 3,256.92 × 938.01
  4. Step 4: Simplify right side
    2,171.10x = 3,055,023.53
  5. Step 5: Solve for x
    x = 3,055,023.53/2,171.10
  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.