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Finding the Fourth Proportional to 2,694.96, 3,718.96 and 1,516

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Solution

The fourth proportional to 2,694.96, 3,718.96 and 1,516 is: 2,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.96 : 3,718.96 = 1,516 : x
  2. Step 2: Convert to fraction form
    2,694.96/3,718.96 = 1,516/x
  3. Step 3: Cross multiply
    2,694.96x = 3,718.96 × 1,516
  4. Step 4: Simplify right side
    2,694.96x = 5,637,943.36
  5. Step 5: Solve for x
    x = 5,637,943.36/2,694.96
  6. Step 6: Final answer
    x = 2,092.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.