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Finding the Fourth Proportional to 1,647.41, 2,270.43 and 1,600.02

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Solution

The fourth proportional to 1,647.41, 2,270.43 and 1,600.02 is: 2,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.41 : 2,270.43 = 1,600.02 : x
  2. Step 2: Convert to fraction form
    1,647.41/2,270.43 = 1,600.02/x
  3. Step 3: Cross multiply
    1,647.41x = 2,270.43 × 1,600.02
  4. Step 4: Simplify right side
    1,647.41x = 3,632,733.41
  5. Step 5: Solve for x
    x = 3,632,733.41/1,647.41
  6. Step 6: Final answer
    x = 2,205.12

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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.