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Finding the Fourth Proportional to 1,757.09, 2,423.17 and 1,617.50

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Solution

The fourth proportional to 1,757.09, 2,423.17 and 1,617.50 is: 2,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.09 : 2,423.17 = 1,617.50 : x
  2. Step 2: Convert to fraction form
    1,757.09/2,423.17 = 1,617.50/x
  3. Step 3: Cross multiply
    1,757.09x = 2,423.17 × 1,617.50
  4. Step 4: Simplify right side
    1,757.09x = 3,919,477.48
  5. Step 5: Solve for x
    x = 3,919,477.48/1,757.09
  6. Step 6: Final answer
    x = 2,230.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.