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Finding the Fourth Proportional to 3,162.66, 4,744.59 and 1,214.70

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Solution

The fourth proportional to 3,162.66, 4,744.59 and 1,214.70 is: 1,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.66 : 4,744.59 = 1,214.70 : x
  2. Step 2: Convert to fraction form
    3,162.66/4,744.59 = 1,214.70/x
  3. Step 3: Cross multiply
    3,162.66x = 4,744.59 × 1,214.70
  4. Step 4: Simplify right side
    3,162.66x = 5,763,247.40
  5. Step 5: Solve for x
    x = 5,763,247.40/3,162.66
  6. Step 6: Final answer
    x = 1,822.28

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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.