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Finding the Fourth Proportional to 3,189.59, 4,779.52 and 1,456.19

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Solution

The fourth proportional to 3,189.59, 4,779.52 and 1,456.19 is: 2,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.59 : 4,779.52 = 1,456.19 : x
  2. Step 2: Convert to fraction form
    3,189.59/4,779.52 = 1,456.19/x
  3. Step 3: Cross multiply
    3,189.59x = 4,779.52 × 1,456.19
  4. Step 4: Simplify right side
    3,189.59x = 6,959,861.69
  5. Step 5: Solve for x
    x = 6,959,861.69/3,189.59
  6. Step 6: Final answer
    x = 2,182.06

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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.