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Finding the Fourth Proportional to 1,617.14, 2,425.91 and 795.44

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Solution

The fourth proportional to 1,617.14, 2,425.91 and 795.44 is: 1,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.14 : 2,425.91 = 795.44 : x
  2. Step 2: Convert to fraction form
    1,617.14/2,425.91 = 795.44/x
  3. Step 3: Cross multiply
    1,617.14x = 2,425.91 × 795.44
  4. Step 4: Simplify right side
    1,617.14x = 1,929,649.74
  5. Step 5: Solve for x
    x = 1,929,649.74/1,617.14
  6. Step 6: Final answer
    x = 1,193.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.