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Finding the Fourth Proportional to 2,271, 3,133.92 and 1,276.38

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Solution

The fourth proportional to 2,271, 3,133.92 and 1,276.38 is: 1,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271 : 3,133.92 = 1,276.38 : x
  2. Step 2: Convert to fraction form
    2,271/3,133.92 = 1,276.38/x
  3. Step 3: Cross multiply
    2,271x = 3,133.92 × 1,276.38
  4. Step 4: Simplify right side
    2,271x = 4,000,072.81
  5. Step 5: Solve for x
    x = 4,000,072.81/2,271
  6. Step 6: Final answer
    x = 1,761.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.