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Finding the Fourth Proportional to 2,737.69, 3,779.84 and 2,107.11

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Solution

The fourth proportional to 2,737.69, 3,779.84 and 2,107.11 is: 2,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.69 : 3,779.84 = 2,107.11 : x
  2. Step 2: Convert to fraction form
    2,737.69/3,779.84 = 2,107.11/x
  3. Step 3: Cross multiply
    2,737.69x = 3,779.84 × 2,107.11
  4. Step 4: Simplify right side
    2,737.69x = 7,964,538.66
  5. Step 5: Solve for x
    x = 7,964,538.66/2,737.69
  6. Step 6: Final answer
    x = 2,909.22

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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.