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Finding the Fourth Proportional to 1,795.92, 2,694.03 and 497.39

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Solution

The fourth proportional to 1,795.92, 2,694.03 and 497.39 is: 746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.92 : 2,694.03 = 497.39 : x
  2. Step 2: Convert to fraction form
    1,795.92/2,694.03 = 497.39/x
  3. Step 3: Cross multiply
    1,795.92x = 2,694.03 × 497.39
  4. Step 4: Simplify right side
    1,795.92x = 1,339,987.60
  5. Step 5: Solve for x
    x = 1,339,987.60/1,795.92
  6. Step 6: Final answer
    x = 746.13

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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.