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Finding the Fourth Proportional to 2,779.47, 4,164.30 and 1,995.66

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Solution

The fourth proportional to 2,779.47, 4,164.30 and 1,995.66 is: 2,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.47 : 4,164.30 = 1,995.66 : x
  2. Step 2: Convert to fraction form
    2,779.47/4,164.30 = 1,995.66/x
  3. Step 3: Cross multiply
    2,779.47x = 4,164.30 × 1,995.66
  4. Step 4: Simplify right side
    2,779.47x = 8,310,526.94
  5. Step 5: Solve for x
    x = 8,310,526.94/2,779.47
  6. Step 6: Final answer
    x = 2,989.97

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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.