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Finding the Fourth Proportional to 2,439.64, 3,652.17 and 1,660.42

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Solution

The fourth proportional to 2,439.64, 3,652.17 and 1,660.42 is: 2,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.64 : 3,652.17 = 1,660.42 : x
  2. Step 2: Convert to fraction form
    2,439.64/3,652.17 = 1,660.42/x
  3. Step 3: Cross multiply
    2,439.64x = 3,652.17 × 1,660.42
  4. Step 4: Simplify right side
    2,439.64x = 6,064,136.11
  5. Step 5: Solve for x
    x = 6,064,136.11/2,439.64
  6. Step 6: Final answer
    x = 2,485.67

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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.