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Finding the Fourth Proportional to 2,072.88, 2,859.08 and 1,408.55

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Solution

The fourth proportional to 2,072.88, 2,859.08 and 1,408.55 is: 1,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.88 : 2,859.08 = 1,408.55 : x
  2. Step 2: Convert to fraction form
    2,072.88/2,859.08 = 1,408.55/x
  3. Step 3: Cross multiply
    2,072.88x = 2,859.08 × 1,408.55
  4. Step 4: Simplify right side
    2,072.88x = 4,027,135.80
  5. Step 5: Solve for x
    x = 4,027,135.80/2,072.88
  6. Step 6: Final answer
    x = 1,942.77

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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.