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Finding the Fourth Proportional to 2,893.12, 3,992.34 and 1,697.93

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Solution

The fourth proportional to 2,893.12, 3,992.34 and 1,697.93 is: 2,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.12 : 3,992.34 = 1,697.93 : x
  2. Step 2: Convert to fraction form
    2,893.12/3,992.34 = 1,697.93/x
  3. Step 3: Cross multiply
    2,893.12x = 3,992.34 × 1,697.93
  4. Step 4: Simplify right side
    2,893.12x = 6,778,723.84
  5. Step 5: Solve for x
    x = 6,778,723.84/2,893.12
  6. Step 6: Final answer
    x = 2,343.05

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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.