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Finding the Fourth Proportional to 2,271, 3,133.98 and 1,276.26

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Solution

The fourth proportional to 2,271, 3,133.98 and 1,276.26 is: 1,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271 : 3,133.98 = 1,276.26 : x
  2. Step 2: Convert to fraction form
    2,271/3,133.98 = 1,276.26/x
  3. Step 3: Cross multiply
    2,271x = 3,133.98 × 1,276.26
  4. Step 4: Simplify right side
    2,271x = 3,999,773.31
  5. Step 5: Solve for x
    x = 3,999,773.31/2,271
  6. Step 6: Final answer
    x = 1,761.24

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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.