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Finding the Fourth Proportional to 2,854.05, 3,933.88 and 1,909.51

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Solution

The fourth proportional to 2,854.05, 3,933.88 and 1,909.51 is: 2,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.05 : 3,933.88 = 1,909.51 : x
  2. Step 2: Convert to fraction form
    2,854.05/3,933.88 = 1,909.51/x
  3. Step 3: Cross multiply
    2,854.05x = 3,933.88 × 1,909.51
  4. Step 4: Simplify right side
    2,854.05x = 7,511,779.33
  5. Step 5: Solve for x
    x = 7,511,779.33/2,854.05
  6. Step 6: Final answer
    x = 2,631.97

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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.