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Finding the Fourth Proportional to 2,266.96, 3,128.42 and 1,481

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Solution

The fourth proportional to 2,266.96, 3,128.42 and 1,481 is: 2,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.96 : 3,128.42 = 1,481 : x
  2. Step 2: Convert to fraction form
    2,266.96/3,128.42 = 1,481/x
  3. Step 3: Cross multiply
    2,266.96x = 3,128.42 × 1,481
  4. Step 4: Simplify right side
    2,266.96x = 4,633,182.62
  5. Step 5: Solve for x
    x = 4,633,182.62/2,266.96
  6. Step 6: Final answer
    x = 2,043.79

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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.