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Finding the Fourth Proportional to 2,469.64, 3,406.26 and 1,809.16

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Solution

The fourth proportional to 2,469.64, 3,406.26 and 1,809.16 is: 2,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.64 : 3,406.26 = 1,809.16 : x
  2. Step 2: Convert to fraction form
    2,469.64/3,406.26 = 1,809.16/x
  3. Step 3: Cross multiply
    2,469.64x = 3,406.26 × 1,809.16
  4. Step 4: Simplify right side
    2,469.64x = 6,162,469.34
  5. Step 5: Solve for x
    x = 6,162,469.34/2,469.64
  6. Step 6: Final answer
    x = 2,495.29

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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.