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Finding the Fourth Proportional to 2,974.33, 4,455.52 and 1,415.83

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Solution

The fourth proportional to 2,974.33, 4,455.52 and 1,415.83 is: 2,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.33 : 4,455.52 = 1,415.83 : x
  2. Step 2: Convert to fraction form
    2,974.33/4,455.52 = 1,415.83/x
  3. Step 3: Cross multiply
    2,974.33x = 4,455.52 × 1,415.83
  4. Step 4: Simplify right side
    2,974.33x = 6,308,258.88
  5. Step 5: Solve for x
    x = 6,308,258.88/2,974.33
  6. Step 6: Final answer
    x = 2,120.90

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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.