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Finding the Fourth Proportional to 2,718.44, 4,071.72 and 2,129.46

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Solution

The fourth proportional to 2,718.44, 4,071.72 and 2,129.46 is: 3,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.44 : 4,071.72 = 2,129.46 : x
  2. Step 2: Convert to fraction form
    2,718.44/4,071.72 = 2,129.46/x
  3. Step 3: Cross multiply
    2,718.44x = 4,071.72 × 2,129.46
  4. Step 4: Simplify right side
    2,718.44x = 8,670,564.87
  5. Step 5: Solve for x
    x = 8,670,564.87/2,718.44
  6. Step 6: Final answer
    x = 3,189.54

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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.