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Finding the Fourth Proportional to 3,105.64, 4,285.62 and 1,779.52

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Solution

The fourth proportional to 3,105.64, 4,285.62 and 1,779.52 is: 2,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.64 : 4,285.62 = 1,779.52 : x
  2. Step 2: Convert to fraction form
    3,105.64/4,285.62 = 1,779.52/x
  3. Step 3: Cross multiply
    3,105.64x = 4,285.62 × 1,779.52
  4. Step 4: Simplify right side
    3,105.64x = 7,626,346.50
  5. Step 5: Solve for x
    x = 7,626,346.50/3,105.64
  6. Step 6: Final answer
    x = 2,455.64

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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.