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Finding the Fourth Proportional to 2,704.65, 4,055.41 and 1,059.27

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Solution

The fourth proportional to 2,704.65, 4,055.41 and 1,059.27 is: 1,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.65 : 4,055.41 = 1,059.27 : x
  2. Step 2: Convert to fraction form
    2,704.65/4,055.41 = 1,059.27/x
  3. Step 3: Cross multiply
    2,704.65x = 4,055.41 × 1,059.27
  4. Step 4: Simplify right side
    2,704.65x = 4,295,774.15
  5. Step 5: Solve for x
    x = 4,295,774.15/2,704.65
  6. Step 6: Final answer
    x = 1,588.29

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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.