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Finding the Fourth Proportional to 2,271.63, 3,404.92 and 884.31

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Solution

The fourth proportional to 2,271.63, 3,404.92 and 884.31 is: 1,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.63 : 3,404.92 = 884.31 : x
  2. Step 2: Convert to fraction form
    2,271.63/3,404.92 = 884.31/x
  3. Step 3: Cross multiply
    2,271.63x = 3,404.92 × 884.31
  4. Step 4: Simplify right side
    2,271.63x = 3,011,004.81
  5. Step 5: Solve for x
    x = 3,011,004.81/2,271.63
  6. Step 6: Final answer
    x = 1,325.48

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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.