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Finding the Fourth Proportional to 2,072.66, 2,857.03 and 1,408.34

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Solution

The fourth proportional to 2,072.66, 2,857.03 and 1,408.34 is: 1,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.66 : 2,857.03 = 1,408.34 : x
  2. Step 2: Convert to fraction form
    2,072.66/2,857.03 = 1,408.34/x
  3. Step 3: Cross multiply
    2,072.66x = 2,857.03 × 1,408.34
  4. Step 4: Simplify right side
    2,072.66x = 4,023,669.63
  5. Step 5: Solve for x
    x = 4,023,669.63/2,072.66
  6. Step 6: Final answer
    x = 1,941.31

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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.