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Finding the Fourth Proportional to 2,271.42, 3,407.33 and 884.86

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Solution

The fourth proportional to 2,271.42, 3,407.33 and 884.86 is: 1,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.42 : 3,407.33 = 884.86 : x
  2. Step 2: Convert to fraction form
    2,271.42/3,407.33 = 884.86/x
  3. Step 3: Cross multiply
    2,271.42x = 3,407.33 × 884.86
  4. Step 4: Simplify right side
    2,271.42x = 3,015,003.72
  5. Step 5: Solve for x
    x = 3,015,003.72/2,271.42
  6. Step 6: Final answer
    x = 1,327.37

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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.