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Finding the Fourth Proportional to 2,779.40, 3,835.57 and 1,520.47

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Solution

The fourth proportional to 2,779.40, 3,835.57 and 1,520.47 is: 2,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.40 : 3,835.57 = 1,520.47 : x
  2. Step 2: Convert to fraction form
    2,779.40/3,835.57 = 1,520.47/x
  3. Step 3: Cross multiply
    2,779.40x = 3,835.57 × 1,520.47
  4. Step 4: Simplify right side
    2,779.40x = 5,831,855.73
  5. Step 5: Solve for x
    x = 5,831,855.73/2,779.40
  6. Step 6: Final answer
    x = 2,098.25

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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.