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Finding the Fourth Proportional to 4,449.33, 6,677.64 and 1,854.09

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Solution

The fourth proportional to 4,449.33, 6,677.64 and 1,854.09 is: 2,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.33 : 6,677.64 = 1,854.09 : x
  2. Step 2: Convert to fraction form
    4,449.33/6,677.64 = 1,854.09/x
  3. Step 3: Cross multiply
    4,449.33x = 6,677.64 × 1,854.09
  4. Step 4: Simplify right side
    4,449.33x = 12,380,945.55
  5. Step 5: Solve for x
    x = 12,380,945.55/4,449.33
  6. Step 6: Final answer
    x = 2,782.65

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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.