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Finding the Fourth Proportional to 3,039.56, 4,193.15 and 1,779.83

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Solution

The fourth proportional to 3,039.56, 4,193.15 and 1,779.83 is: 2,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.56 : 4,193.15 = 1,779.83 : x
  2. Step 2: Convert to fraction form
    3,039.56/4,193.15 = 1,779.83/x
  3. Step 3: Cross multiply
    3,039.56x = 4,193.15 × 1,779.83
  4. Step 4: Simplify right side
    3,039.56x = 7,463,080.02
  5. Step 5: Solve for x
    x = 7,463,080.02/3,039.56
  6. Step 6: Final answer
    x = 2,455.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.