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Finding the Fourth Proportional to 1,617.38, 2,426.28 and 795.68

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Solution

The fourth proportional to 1,617.38, 2,426.28 and 795.68 is: 1,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.38 : 2,426.28 = 795.68 : x
  2. Step 2: Convert to fraction form
    1,617.38/2,426.28 = 795.68/x
  3. Step 3: Cross multiply
    1,617.38x = 2,426.28 × 795.68
  4. Step 4: Simplify right side
    1,617.38x = 1,930,542.47
  5. Step 5: Solve for x
    x = 1,930,542.47/1,617.38
  6. Step 6: Final answer
    x = 1,193.62

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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.