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Finding the Fourth Proportional to 3,214.40, 4,816.20 and 2,118.20

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Solution

The fourth proportional to 3,214.40, 4,816.20 and 2,118.20 is: 3,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.40 : 4,816.20 = 2,118.20 : x
  2. Step 2: Convert to fraction form
    3,214.40/4,816.20 = 2,118.20/x
  3. Step 3: Cross multiply
    3,214.40x = 4,816.20 × 2,118.20
  4. Step 4: Simplify right side
    3,214.40x = 10,201,674.84
  5. Step 5: Solve for x
    x = 10,201,674.84/3,214.40
  6. Step 6: Final answer
    x = 3,173.74

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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.