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Finding the Fourth Proportional to 2,800.20, 3,862.56 and 2,015.31

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Solution

The fourth proportional to 2,800.20, 3,862.56 and 2,015.31 is: 2,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.20 : 3,862.56 = 2,015.31 : x
  2. Step 2: Convert to fraction form
    2,800.20/3,862.56 = 2,015.31/x
  3. Step 3: Cross multiply
    2,800.20x = 3,862.56 × 2,015.31
  4. Step 4: Simplify right side
    2,800.20x = 7,784,255.79
  5. Step 5: Solve for x
    x = 7,784,255.79/2,800.20
  6. Step 6: Final answer
    x = 2,779.89

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