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Finding the Fourth Proportional to 3,124.80, 4,674.40 and 2,817.60

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Solution

The fourth proportional to 3,124.80, 4,674.40 and 2,817.60 is: 4,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.80 : 4,674.40 = 2,817.60 : x
  2. Step 2: Convert to fraction form
    3,124.80/4,674.40 = 2,817.60/x
  3. Step 3: Cross multiply
    3,124.80x = 4,674.40 × 2,817.60
  4. Step 4: Simplify right side
    3,124.80x = 13,170,589.44
  5. Step 5: Solve for x
    x = 13,170,589.44/3,124.80
  6. Step 6: Final answer
    x = 4,214.86

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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.