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Finding the Fourth Proportional to 2,271.92, 3,405.43 and 955.37

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Solution

The fourth proportional to 2,271.92, 3,405.43 and 955.37 is: 1,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.92 : 3,405.43 = 955.37 : x
  2. Step 2: Convert to fraction form
    2,271.92/3,405.43 = 955.37/x
  3. Step 3: Cross multiply
    2,271.92x = 3,405.43 × 955.37
  4. Step 4: Simplify right side
    2,271.92x = 3,253,439.01
  5. Step 5: Solve for x
    x = 3,253,439.01/2,271.92
  6. Step 6: Final answer
    x = 1,432.02

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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.