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Finding the Fourth Proportional to 3,002.64, 4,505.46 and 1,617.24

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Solution

The fourth proportional to 3,002.64, 4,505.46 and 1,617.24 is: 2,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.64 : 4,505.46 = 1,617.24 : x
  2. Step 2: Convert to fraction form
    3,002.64/4,505.46 = 1,617.24/x
  3. Step 3: Cross multiply
    3,002.64x = 4,505.46 × 1,617.24
  4. Step 4: Simplify right side
    3,002.64x = 7,286,410.13
  5. Step 5: Solve for x
    x = 7,286,410.13/3,002.64
  6. Step 6: Final answer
    x = 2,426.67

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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.