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Finding the Fourth Proportional to 2,779.14, 3,835.62 and 1,599.98

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Solution

The fourth proportional to 2,779.14, 3,835.62 and 1,599.98 is: 2,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.14 : 3,835.62 = 1,599.98 : x
  2. Step 2: Convert to fraction form
    2,779.14/3,835.62 = 1,599.98/x
  3. Step 3: Cross multiply
    2,779.14x = 3,835.62 × 1,599.98
  4. Step 4: Simplify right side
    2,779.14x = 6,136,896.11
  5. Step 5: Solve for x
    x = 6,136,896.11/2,779.14
  6. Step 6: Final answer
    x = 2,208.20

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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.