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Finding the Fourth Proportional to 2,652.34, 3,660.46 and 1,473.64

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Solution

The fourth proportional to 2,652.34, 3,660.46 and 1,473.64 is: 2,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.34 : 3,660.46 = 1,473.64 : x
  2. Step 2: Convert to fraction form
    2,652.34/3,660.46 = 1,473.64/x
  3. Step 3: Cross multiply
    2,652.34x = 3,660.46 × 1,473.64
  4. Step 4: Simplify right side
    2,652.34x = 5,394,200.27
  5. Step 5: Solve for x
    x = 5,394,200.27/2,652.34
  6. Step 6: Final answer
    x = 2,033.75

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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.