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Finding the Fourth Proportional to 3,105.34, 4,285.71 and 1,779.03

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Solution

The fourth proportional to 3,105.34, 4,285.71 and 1,779.03 is: 2,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.34 : 4,285.71 = 1,779.03 : x
  2. Step 2: Convert to fraction form
    3,105.34/4,285.71 = 1,779.03/x
  3. Step 3: Cross multiply
    3,105.34x = 4,285.71 × 1,779.03
  4. Step 4: Simplify right side
    3,105.34x = 7,624,406.66
  5. Step 5: Solve for x
    x = 7,624,406.66/3,105.34
  6. Step 6: Final answer
    x = 2,455.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.