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Finding the Fourth Proportional to 2,857.98, 4,289.38 and 1,127.82

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Solution

The fourth proportional to 2,857.98, 4,289.38 and 1,127.82 is: 1,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.98 : 4,289.38 = 1,127.82 : x
  2. Step 2: Convert to fraction form
    2,857.98/4,289.38 = 1,127.82/x
  3. Step 3: Cross multiply
    2,857.98x = 4,289.38 × 1,127.82
  4. Step 4: Simplify right side
    2,857.98x = 4,837,648.55
  5. Step 5: Solve for x
    x = 4,837,648.55/2,857.98
  6. Step 6: Final answer
    x = 1,692.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.