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Finding the Fourth Proportional to 2,760.40, 3,810.84 and 2,013.56

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Solution

The fourth proportional to 2,760.40, 3,810.84 and 2,013.56 is: 2,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.40 : 3,810.84 = 2,013.56 : x
  2. Step 2: Convert to fraction form
    2,760.40/3,810.84 = 2,013.56/x
  3. Step 3: Cross multiply
    2,760.40x = 3,810.84 × 2,013.56
  4. Step 4: Simplify right side
    2,760.40x = 7,673,354.99
  5. Step 5: Solve for x
    x = 7,673,354.99/2,760.40
  6. Step 6: Final answer
    x = 2,779.80

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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.