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Finding the Fourth Proportional to 1,617.12, 2,426.84 and 795.63

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Solution

The fourth proportional to 1,617.12, 2,426.84 and 795.63 is: 1,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.12 : 2,426.84 = 795.63 : x
  2. Step 2: Convert to fraction form
    1,617.12/2,426.84 = 795.63/x
  3. Step 3: Cross multiply
    1,617.12x = 2,426.84 × 795.63
  4. Step 4: Simplify right side
    1,617.12x = 1,930,868.70
  5. Step 5: Solve for x
    x = 1,930,868.70/1,617.12
  6. Step 6: Final answer
    x = 1,194.02

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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.