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Finding the Fourth Proportional to 1,481.73, 2,031.54 and 1,455.42

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Solution

The fourth proportional to 1,481.73, 2,031.54 and 1,455.42 is: 1,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.73 : 2,031.54 = 1,455.42 : x
  2. Step 2: Convert to fraction form
    1,481.73/2,031.54 = 1,455.42/x
  3. Step 3: Cross multiply
    1,481.73x = 2,031.54 × 1,455.42
  4. Step 4: Simplify right side
    1,481.73x = 2,956,743.95
  5. Step 5: Solve for x
    x = 2,956,743.95/1,481.73
  6. Step 6: Final answer
    x = 1,995.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.