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Finding the Fourth Proportional to 3,189.86, 4,779.91 and 2,146.00

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Solution

The fourth proportional to 3,189.86, 4,779.91 and 2,146.00 is: 3,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.86 : 4,779.91 = 2,146.00 : x
  2. Step 2: Convert to fraction form
    3,189.86/4,779.91 = 2,146.00/x
  3. Step 3: Cross multiply
    3,189.86x = 4,779.91 × 2,146.00
  4. Step 4: Simplify right side
    3,189.86x = 10,257,652.23
  5. Step 5: Solve for x
    x = 10,257,652.23/3,189.86
  6. Step 6: Final answer
    x = 3,215.71

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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.