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Finding the Fourth Proportional to 3,196.17, 4,410.62 and 1,779.86

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Solution

The fourth proportional to 3,196.17, 4,410.62 and 1,779.86 is: 2,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.17 : 4,410.62 = 1,779.86 : x
  2. Step 2: Convert to fraction form
    3,196.17/4,410.62 = 1,779.86/x
  3. Step 3: Cross multiply
    3,196.17x = 4,410.62 × 1,779.86
  4. Step 4: Simplify right side
    3,196.17x = 7,850,280.12
  5. Step 5: Solve for x
    x = 7,850,280.12/3,196.17
  6. Step 6: Final answer
    x = 2,456.15

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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.