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Finding the Fourth Proportional to 3,214.12, 4,821.18 and 1,678.12

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Solution

The fourth proportional to 3,214.12, 4,821.18 and 1,678.12 is: 2,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.12 : 4,821.18 = 1,678.12 : x
  2. Step 2: Convert to fraction form
    3,214.12/4,821.18 = 1,678.12/x
  3. Step 3: Cross multiply
    3,214.12x = 4,821.18 × 1,678.12
  4. Step 4: Simplify right side
    3,214.12x = 8,090,518.58
  5. Step 5: Solve for x
    x = 8,090,518.58/3,214.12
  6. Step 6: Final answer
    x = 2,517.18

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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.