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Finding the Fourth Proportional to 1,617.17, 2,423.93 and 793.70

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Solution

The fourth proportional to 1,617.17, 2,423.93 and 793.70 is: 1,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.17 : 2,423.93 = 793.70 : x
  2. Step 2: Convert to fraction form
    1,617.17/2,423.93 = 793.70/x
  3. Step 3: Cross multiply
    1,617.17x = 2,423.93 × 793.70
  4. Step 4: Simplify right side
    1,617.17x = 1,923,866.24
  5. Step 5: Solve for x
    x = 1,923,866.24/1,617.17
  6. Step 6: Final answer
    x = 1,189.65

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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.