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Finding the Fourth Proportional to 2,271.61, 3,406.92 and 884.98

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Solution

The fourth proportional to 2,271.61, 3,406.92 and 884.98 is: 1,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.61 : 3,406.92 = 884.98 : x
  2. Step 2: Convert to fraction form
    2,271.61/3,406.92 = 884.98/x
  3. Step 3: Cross multiply
    2,271.61x = 3,406.92 × 884.98
  4. Step 4: Simplify right side
    2,271.61x = 3,015,056.06
  5. Step 5: Solve for x
    x = 3,015,056.06/2,271.61
  6. Step 6: Final answer
    x = 1,327.28

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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.