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Finding the Fourth Proportional to 2,449.64, 3,382.27 and 1,506.69

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Solution

The fourth proportional to 2,449.64, 3,382.27 and 1,506.69 is: 2,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.64 : 3,382.27 = 1,506.69 : x
  2. Step 2: Convert to fraction form
    2,449.64/3,382.27 = 1,506.69/x
  3. Step 3: Cross multiply
    2,449.64x = 3,382.27 × 1,506.69
  4. Step 4: Simplify right side
    2,449.64x = 5,096,028.62
  5. Step 5: Solve for x
    x = 5,096,028.62/2,449.64
  6. Step 6: Final answer
    x = 2,080.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.