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Finding the Fourth Proportional to 2,992.05, 4,129.16 and 1,665.74

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Solution

The fourth proportional to 2,992.05, 4,129.16 and 1,665.74 is: 2,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.05 : 4,129.16 = 1,665.74 : x
  2. Step 2: Convert to fraction form
    2,992.05/4,129.16 = 1,665.74/x
  3. Step 3: Cross multiply
    2,992.05x = 4,129.16 × 1,665.74
  4. Step 4: Simplify right side
    2,992.05x = 6,878,108.97
  5. Step 5: Solve for x
    x = 6,878,108.97/2,992.05
  6. Step 6: Final answer
    x = 2,298.79

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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.