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Finding the Fourth Proportional to 2,909.64, 4,016.54 and 1,731.09

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Solution

The fourth proportional to 2,909.64, 4,016.54 and 1,731.09 is: 2,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.64 : 4,016.54 = 1,731.09 : x
  2. Step 2: Convert to fraction form
    2,909.64/4,016.54 = 1,731.09/x
  3. Step 3: Cross multiply
    2,909.64x = 4,016.54 × 1,731.09
  4. Step 4: Simplify right side
    2,909.64x = 6,952,996.56
  5. Step 5: Solve for x
    x = 6,952,996.56/2,909.64
  6. Step 6: Final answer
    x = 2,389.64

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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.