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Finding the Fourth Proportional to 2,779.25, 4,165.22 and 2,045.39

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Solution

The fourth proportional to 2,779.25, 4,165.22 and 2,045.39 is: 3,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.25 : 4,165.22 = 2,045.39 : x
  2. Step 2: Convert to fraction form
    2,779.25/4,165.22 = 2,045.39/x
  3. Step 3: Cross multiply
    2,779.25x = 4,165.22 × 2,045.39
  4. Step 4: Simplify right side
    2,779.25x = 8,519,483.62
  5. Step 5: Solve for x
    x = 8,519,483.62/2,779.25
  6. Step 6: Final answer
    x = 3,065.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.