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Finding the Fourth Proportional to 3,341.84, 4,612.17 and 2,016.29

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Solution

The fourth proportional to 3,341.84, 4,612.17 and 2,016.29 is: 2,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.84 : 4,612.17 = 2,016.29 : x
  2. Step 2: Convert to fraction form
    3,341.84/4,612.17 = 2,016.29/x
  3. Step 3: Cross multiply
    3,341.84x = 4,612.17 × 2,016.29
  4. Step 4: Simplify right side
    3,341.84x = 9,299,472.25
  5. Step 5: Solve for x
    x = 9,299,472.25/3,341.84
  6. Step 6: Final answer
    x = 2,782.74

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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.