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Finding the Fourth Proportional to 2,271.06, 3,407.40 and 884.43

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Solution

The fourth proportional to 2,271.06, 3,407.40 and 884.43 is: 1,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.06 : 3,407.40 = 884.43 : x
  2. Step 2: Convert to fraction form
    2,271.06/3,407.40 = 884.43/x
  3. Step 3: Cross multiply
    2,271.06x = 3,407.40 × 884.43
  4. Step 4: Simplify right side
    2,271.06x = 3,013,606.78
  5. Step 5: Solve for x
    x = 3,013,606.78/2,271.06
  6. Step 6: Final answer
    x = 1,326.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.