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Finding the Fourth Proportional to 3,262.86, 4,895.16 and 1,183.05

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Solution

The fourth proportional to 3,262.86, 4,895.16 and 1,183.05 is: 1,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.86 : 4,895.16 = 1,183.05 : x
  2. Step 2: Convert to fraction form
    3,262.86/4,895.16 = 1,183.05/x
  3. Step 3: Cross multiply
    3,262.86x = 4,895.16 × 1,183.05
  4. Step 4: Simplify right side
    3,262.86x = 5,791,219.04
  5. Step 5: Solve for x
    x = 5,791,219.04/3,262.86
  6. Step 6: Final answer
    x = 1,774.89

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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.