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Finding the Fourth Proportional to 1,826.57, 2,741.27 and 731.04

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Solution

The fourth proportional to 1,826.57, 2,741.27 and 731.04 is: 1,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.57 : 2,741.27 = 731.04 : x
  2. Step 2: Convert to fraction form
    1,826.57/2,741.27 = 731.04/x
  3. Step 3: Cross multiply
    1,826.57x = 2,741.27 × 731.04
  4. Step 4: Simplify right side
    1,826.57x = 2,003,974.37
  5. Step 5: Solve for x
    x = 2,003,974.37/1,826.57
  6. Step 6: Final answer
    x = 1,097.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.