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Finding the Fourth Proportional to 2,981.73, 4,114.63 and 1,655.43

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Solution

The fourth proportional to 2,981.73, 4,114.63 and 1,655.43 is: 2,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.73 : 4,114.63 = 1,655.43 : x
  2. Step 2: Convert to fraction form
    2,981.73/4,114.63 = 1,655.43/x
  3. Step 3: Cross multiply
    2,981.73x = 4,114.63 × 1,655.43
  4. Step 4: Simplify right side
    2,981.73x = 6,811,481.94
  5. Step 5: Solve for x
    x = 6,811,481.94/2,981.73
  6. Step 6: Final answer
    x = 2,284.41

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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.