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Finding the Fourth Proportional to 3,415.05, 4,712.49 and 1,922.87

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Solution

The fourth proportional to 3,415.05, 4,712.49 and 1,922.87 is: 2,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.05 : 4,712.49 = 1,922.87 : x
  2. Step 2: Convert to fraction form
    3,415.05/4,712.49 = 1,922.87/x
  3. Step 3: Cross multiply
    3,415.05x = 4,712.49 × 1,922.87
  4. Step 4: Simplify right side
    3,415.05x = 9,061,517.43
  5. Step 5: Solve for x
    x = 9,061,517.43/3,415.05
  6. Step 6: Final answer
    x = 2,653.41

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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.