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Finding the Fourth Proportional to 1,795.64, 2,693.43 and 497.09

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Solution

The fourth proportional to 1,795.64, 2,693.43 and 497.09 is: 745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.64 : 2,693.43 = 497.09 : x
  2. Step 2: Convert to fraction form
    1,795.64/2,693.43 = 497.09/x
  3. Step 3: Cross multiply
    1,795.64x = 2,693.43 × 497.09
  4. Step 4: Simplify right side
    1,795.64x = 1,338,877.12
  5. Step 5: Solve for x
    x = 1,338,877.12/1,795.64
  6. Step 6: Final answer
    x = 745.63

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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.