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Finding the Fourth Proportional to 2,704.52, 4,056.78 and 2,089.12

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Solution

The fourth proportional to 2,704.52, 4,056.78 and 2,089.12 is: 3,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.52 : 4,056.78 = 2,089.12 : x
  2. Step 2: Convert to fraction form
    2,704.52/4,056.78 = 2,089.12/x
  3. Step 3: Cross multiply
    2,704.52x = 4,056.78 × 2,089.12
  4. Step 4: Simplify right side
    2,704.52x = 8,475,100.23
  5. Step 5: Solve for x
    x = 8,475,100.23/2,704.52
  6. Step 6: Final answer
    x = 3,133.68

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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.