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Finding the Fourth Proportional to 2,704.80, 4,057.20 and 2,510.40

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Solution

The fourth proportional to 2,704.80, 4,057.20 and 2,510.40 is: 3,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.80 : 4,057.20 = 2,510.40 : x
  2. Step 2: Convert to fraction form
    2,704.80/4,057.20 = 2,510.40/x
  3. Step 3: Cross multiply
    2,704.80x = 4,057.20 × 2,510.40
  4. Step 4: Simplify right side
    2,704.80x = 10,185,194.88
  5. Step 5: Solve for x
    x = 10,185,194.88/2,704.80
  6. Step 6: Final answer
    x = 3,765.60

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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.