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Finding the Fourth Proportional to 1,741.88, 2,613.64 and 1,093.08

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Solution

The fourth proportional to 1,741.88, 2,613.64 and 1,093.08 is: 1,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.88 : 2,613.64 = 1,093.08 : x
  2. Step 2: Convert to fraction form
    1,741.88/2,613.64 = 1,093.08/x
  3. Step 3: Cross multiply
    1,741.88x = 2,613.64 × 1,093.08
  4. Step 4: Simplify right side
    1,741.88x = 2,856,917.61
  5. Step 5: Solve for x
    x = 2,856,917.61/1,741.88
  6. Step 6: Final answer
    x = 1,640.13

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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.