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Finding the Fourth Proportional to 2,992, 4,128.83 and 1,665.83

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Solution

The fourth proportional to 2,992, 4,128.83 and 1,665.83 is: 2,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992 : 4,128.83 = 1,665.83 : x
  2. Step 2: Convert to fraction form
    2,992/4,128.83 = 1,665.83/x
  3. Step 3: Cross multiply
    2,992x = 4,128.83 × 1,665.83
  4. Step 4: Simplify right side
    2,992x = 6,877,928.88
  5. Step 5: Solve for x
    x = 6,877,928.88/2,992
  6. Step 6: Final answer
    x = 2,298.77

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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.