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Finding the Fourth Proportional to 2,992.63, 4,129.85 and 1,666.33

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Solution

The fourth proportional to 2,992.63, 4,129.85 and 1,666.33 is: 2,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.63 : 4,129.85 = 1,666.33 : x
  2. Step 2: Convert to fraction form
    2,992.63/4,129.85 = 1,666.33/x
  3. Step 3: Cross multiply
    2,992.63x = 4,129.85 × 1,666.33
  4. Step 4: Simplify right side
    2,992.63x = 6,881,692.95
  5. Step 5: Solve for x
    x = 6,881,692.95/2,992.63
  6. Step 6: Final answer
    x = 2,299.55

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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.