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Finding the Fourth Proportional to 2,779.20, 3,833.49 and 1,782.90

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Solution

The fourth proportional to 2,779.20, 3,833.49 and 1,782.90 is: 2,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.20 : 3,833.49 = 1,782.90 : x
  2. Step 2: Convert to fraction form
    2,779.20/3,833.49 = 1,782.90/x
  3. Step 3: Cross multiply
    2,779.20x = 3,833.49 × 1,782.90
  4. Step 4: Simplify right side
    2,779.20x = 6,834,720.41
  5. Step 5: Solve for x
    x = 6,834,720.41/2,779.20
  6. Step 6: Final answer
    x = 2,459.24

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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.