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Finding the Fourth Proportional to 2,739.96, 4,104.27 and 2,038.50

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Solution

The fourth proportional to 2,739.96, 4,104.27 and 2,038.50 is: 3,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.96 : 4,104.27 = 2,038.50 : x
  2. Step 2: Convert to fraction form
    2,739.96/4,104.27 = 2,038.50/x
  3. Step 3: Cross multiply
    2,739.96x = 4,104.27 × 2,038.50
  4. Step 4: Simplify right side
    2,739.96x = 8,366,554.40
  5. Step 5: Solve for x
    x = 8,366,554.40/2,739.96
  6. Step 6: Final answer
    x = 3,053.53

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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.