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Finding the Fourth Proportional to 2,399.46, 3,599.46 and 1,305.42

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Solution

The fourth proportional to 2,399.46, 3,599.46 and 1,305.42 is: 1,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.46 : 3,599.46 = 1,305.42 : x
  2. Step 2: Convert to fraction form
    2,399.46/3,599.46 = 1,305.42/x
  3. Step 3: Cross multiply
    2,399.46x = 3,599.46 × 1,305.42
  4. Step 4: Simplify right side
    2,399.46x = 4,698,807.07
  5. Step 5: Solve for x
    x = 4,698,807.07/2,399.46
  6. Step 6: Final answer
    x = 1,958.28

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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.