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Finding the Fourth Proportional to 2,111.96, 3,170.16 and 1,726.40

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Solution

The fourth proportional to 2,111.96, 3,170.16 and 1,726.40 is: 2,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.96 : 3,170.16 = 1,726.40 : x
  2. Step 2: Convert to fraction form
    2,111.96/3,170.16 = 1,726.40/x
  3. Step 3: Cross multiply
    2,111.96x = 3,170.16 × 1,726.40
  4. Step 4: Simplify right side
    2,111.96x = 5,472,964.22
  5. Step 5: Solve for x
    x = 5,472,964.22/2,111.96
  6. Step 6: Final answer
    x = 2,591.41

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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.