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Finding the Fourth Proportional to 3,214.86, 4,822.32 and 1,162.86

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Solution

The fourth proportional to 3,214.86, 4,822.32 and 1,162.86 is: 1,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.86 : 4,822.32 = 1,162.86 : x
  2. Step 2: Convert to fraction form
    3,214.86/4,822.32 = 1,162.86/x
  3. Step 3: Cross multiply
    3,214.86x = 4,822.32 × 1,162.86
  4. Step 4: Simplify right side
    3,214.86x = 5,607,683.04
  5. Step 5: Solve for x
    x = 5,607,683.04/3,214.86
  6. Step 6: Final answer
    x = 1,744.30

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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.