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Finding the Fourth Proportional to 3,077.46, 4,614.98 and 1,779.84

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Solution

The fourth proportional to 3,077.46, 4,614.98 and 1,779.84 is: 2,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.46 : 4,614.98 = 1,779.84 : x
  2. Step 2: Convert to fraction form
    3,077.46/4,614.98 = 1,779.84/x
  3. Step 3: Cross multiply
    3,077.46x = 4,614.98 × 1,779.84
  4. Step 4: Simplify right side
    3,077.46x = 8,213,917.10
  5. Step 5: Solve for x
    x = 8,213,917.10/3,077.46
  6. Step 6: Final answer
    x = 2,669.06

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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.