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Finding the Fourth Proportional to 1,897.73, 2,618.28 and 1,101.27

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Solution

The fourth proportional to 1,897.73, 2,618.28 and 1,101.27 is: 1,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.73 : 2,618.28 = 1,101.27 : x
  2. Step 2: Convert to fraction form
    1,897.73/2,618.28 = 1,101.27/x
  3. Step 3: Cross multiply
    1,897.73x = 2,618.28 × 1,101.27
  4. Step 4: Simplify right side
    1,897.73x = 2,883,433.22
  5. Step 5: Solve for x
    x = 2,883,433.22/1,897.73
  6. Step 6: Final answer
    x = 1,519.42

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