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Finding the Fourth Proportional to 2,057.84, 2,838.91 and 1,217.97

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Solution

The fourth proportional to 2,057.84, 2,838.91 and 1,217.97 is: 1,680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.84 : 2,838.91 = 1,217.97 : x
  2. Step 2: Convert to fraction form
    2,057.84/2,838.91 = 1,217.97/x
  3. Step 3: Cross multiply
    2,057.84x = 2,838.91 × 1,217.97
  4. Step 4: Simplify right side
    2,057.84x = 3,457,707.21
  5. Step 5: Solve for x
    x = 3,457,707.21/2,057.84
  6. Step 6: Final answer
    x = 1,680.26

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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.