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Finding the Fourth Proportional to 2,093, 2,888.82 and 1,265.48

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Solution

The fourth proportional to 2,093, 2,888.82 and 1,265.48 is: 1,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093 : 2,888.82 = 1,265.48 : x
  2. Step 2: Convert to fraction form
    2,093/2,888.82 = 1,265.48/x
  3. Step 3: Cross multiply
    2,093x = 2,888.82 × 1,265.48
  4. Step 4: Simplify right side
    2,093x = 3,655,743.93
  5. Step 5: Solve for x
    x = 3,655,743.93/2,093
  6. Step 6: Final answer
    x = 1,746.65

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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.