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Finding the Fourth Proportional to 2,698.11, 3,724.16 and 1,650.51

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Solution

The fourth proportional to 2,698.11, 3,724.16 and 1,650.51 is: 2,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.11 : 3,724.16 = 1,650.51 : x
  2. Step 2: Convert to fraction form
    2,698.11/3,724.16 = 1,650.51/x
  3. Step 3: Cross multiply
    2,698.11x = 3,724.16 × 1,650.51
  4. Step 4: Simplify right side
    2,698.11x = 6,146,755.07
  5. Step 5: Solve for x
    x = 6,146,755.07/2,698.11
  6. Step 6: Final answer
    x = 2,278.17

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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.