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Finding the Fourth Proportional to 2,286.86, 3,426.24 and 1,051.68

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Solution

The fourth proportional to 2,286.86, 3,426.24 and 1,051.68 is: 1,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.86 : 3,426.24 = 1,051.68 : x
  2. Step 2: Convert to fraction form
    2,286.86/3,426.24 = 1,051.68/x
  3. Step 3: Cross multiply
    2,286.86x = 3,426.24 × 1,051.68
  4. Step 4: Simplify right side
    2,286.86x = 3,603,299.18
  5. Step 5: Solve for x
    x = 3,603,299.18/2,286.86
  6. Step 6: Final answer
    x = 1,575.65

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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.