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Finding the Fourth Proportional to 2,165.08, 3,245.19 and 933.07

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Solution

The fourth proportional to 2,165.08, 3,245.19 and 933.07 is: 1,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.08 : 3,245.19 = 933.07 : x
  2. Step 2: Convert to fraction form
    2,165.08/3,245.19 = 933.07/x
  3. Step 3: Cross multiply
    2,165.08x = 3,245.19 × 933.07
  4. Step 4: Simplify right side
    2,165.08x = 3,027,989.43
  5. Step 5: Solve for x
    x = 3,027,989.43/2,165.08
  6. Step 6: Final answer
    x = 1,398.56

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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.