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Finding the Fourth Proportional to 2,645.23, 3,967.13 and 795.93

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Solution

The fourth proportional to 2,645.23, 3,967.13 and 795.93 is: 1,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.23 : 3,967.13 = 795.93 : x
  2. Step 2: Convert to fraction form
    2,645.23/3,967.13 = 795.93/x
  3. Step 3: Cross multiply
    2,645.23x = 3,967.13 × 795.93
  4. Step 4: Simplify right side
    2,645.23x = 3,157,557.78
  5. Step 5: Solve for x
    x = 3,157,557.78/2,645.23
  6. Step 6: Final answer
    x = 1,193.68

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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.