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Finding the Fourth Proportional to 1,270.55, 1,897.46 and 1,083.44

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Solution

The fourth proportional to 1,270.55, 1,897.46 and 1,083.44 is: 1,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.55 : 1,897.46 = 1,083.44 : x
  2. Step 2: Convert to fraction form
    1,270.55/1,897.46 = 1,083.44/x
  3. Step 3: Cross multiply
    1,270.55x = 1,897.46 × 1,083.44
  4. Step 4: Simplify right side
    1,270.55x = 2,055,787.45
  5. Step 5: Solve for x
    x = 2,055,787.45/1,270.55
  6. Step 6: Final answer
    x = 1,618.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.