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Finding the Fourth Proportional to 3,032.74, 4,184.88 and 1,773.73

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Solution

The fourth proportional to 3,032.74, 4,184.88 and 1,773.73 is: 2,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.74 : 4,184.88 = 1,773.73 : x
  2. Step 2: Convert to fraction form
    3,032.74/4,184.88 = 1,773.73/x
  3. Step 3: Cross multiply
    3,032.74x = 4,184.88 × 1,773.73
  4. Step 4: Simplify right side
    3,032.74x = 7,422,826.28
  5. Step 5: Solve for x
    x = 7,422,826.28/3,032.74
  6. Step 6: Final answer
    x = 2,447.57

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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.