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Finding the Fourth Proportional to 2,717.84, 3,746.25 and 1,832.11

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Solution

The fourth proportional to 2,717.84, 3,746.25 and 1,832.11 is: 2,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.84 : 3,746.25 = 1,832.11 : x
  2. Step 2: Convert to fraction form
    2,717.84/3,746.25 = 1,832.11/x
  3. Step 3: Cross multiply
    2,717.84x = 3,746.25 × 1,832.11
  4. Step 4: Simplify right side
    2,717.84x = 6,863,542.09
  5. Step 5: Solve for x
    x = 6,863,542.09/2,717.84
  6. Step 6: Final answer
    x = 2,525.37

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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.