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Finding the Fourth Proportional to 3,214.60, 4,818.30 and 1,828.60

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Solution

The fourth proportional to 3,214.60, 4,818.30 and 1,828.60 is: 2,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.60 : 4,818.30 = 1,828.60 : x
  2. Step 2: Convert to fraction form
    3,214.60/4,818.30 = 1,828.60/x
  3. Step 3: Cross multiply
    3,214.60x = 4,818.30 × 1,828.60
  4. Step 4: Simplify right side
    3,214.60x = 8,810,743.38
  5. Step 5: Solve for x
    x = 8,810,743.38/3,214.60
  6. Step 6: Final answer
    x = 2,740.85

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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.