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Finding the Fourth Proportional to 1,897.44, 2,847.28 and 1,204.08

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Solution

The fourth proportional to 1,897.44, 2,847.28 and 1,204.08 is: 1,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.44 : 2,847.28 = 1,204.08 : x
  2. Step 2: Convert to fraction form
    1,897.44/2,847.28 = 1,204.08/x
  3. Step 3: Cross multiply
    1,897.44x = 2,847.28 × 1,204.08
  4. Step 4: Simplify right side
    1,897.44x = 3,428,352.90
  5. Step 5: Solve for x
    x = 3,428,352.90/1,897.44
  6. Step 6: Final answer
    x = 1,806.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.