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Finding the Fourth Proportional to 3,165.42, 4,368.44 and 1,906.86

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Solution

The fourth proportional to 3,165.42, 4,368.44 and 1,906.86 is: 2,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.42 : 4,368.44 = 1,906.86 : x
  2. Step 2: Convert to fraction form
    3,165.42/4,368.44 = 1,906.86/x
  3. Step 3: Cross multiply
    3,165.42x = 4,368.44 × 1,906.86
  4. Step 4: Simplify right side
    3,165.42x = 8,329,993.96
  5. Step 5: Solve for x
    x = 8,329,993.96/3,165.42
  6. Step 6: Final answer
    x = 2,631.56

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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.