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Finding the Fourth Proportional to 2,652.37, 3,660.08 and 2,023.30

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Solution

The fourth proportional to 2,652.37, 3,660.08 and 2,023.30 is: 2,792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.37 : 3,660.08 = 2,023.30 : x
  2. Step 2: Convert to fraction form
    2,652.37/3,660.08 = 2,023.30/x
  3. Step 3: Cross multiply
    2,652.37x = 3,660.08 × 2,023.30
  4. Step 4: Simplify right side
    2,652.37x = 7,405,439.86
  5. Step 5: Solve for x
    x = 7,405,439.86/2,652.37
  6. Step 6: Final answer
    x = 2,792.01

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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.