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Finding the Fourth Proportional to 2,701.76, 4,054.46 and 1,469.57

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Solution

The fourth proportional to 2,701.76, 4,054.46 and 1,469.57 is: 2,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.76 : 4,054.46 = 1,469.57 : x
  2. Step 2: Convert to fraction form
    2,701.76/4,054.46 = 1,469.57/x
  3. Step 3: Cross multiply
    2,701.76x = 4,054.46 × 1,469.57
  4. Step 4: Simplify right side
    2,701.76x = 5,958,285.16
  5. Step 5: Solve for x
    x = 5,958,285.16/2,701.76
  6. Step 6: Final answer
    x = 2,205.34

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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.