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Finding the Fourth Proportional to 2,909.80, 4,016.82 and 1,731.28

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Solution

The fourth proportional to 2,909.80, 4,016.82 and 1,731.28 is: 2,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.80 : 4,016.82 = 1,731.28 : x
  2. Step 2: Convert to fraction form
    2,909.80/4,016.82 = 1,731.28/x
  3. Step 3: Cross multiply
    2,909.80x = 4,016.82 × 1,731.28
  4. Step 4: Simplify right side
    2,909.80x = 6,954,240.13
  5. Step 5: Solve for x
    x = 6,954,240.13/2,909.80
  6. Step 6: Final answer
    x = 2,389.94

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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.