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Finding the Fourth Proportional to 2,343.81, 3,517.41 and 1,729.16

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Solution

The fourth proportional to 2,343.81, 3,517.41 and 1,729.16 is: 2,595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.81 : 3,517.41 = 1,729.16 : x
  2. Step 2: Convert to fraction form
    2,343.81/3,517.41 = 1,729.16/x
  3. Step 3: Cross multiply
    2,343.81x = 3,517.41 × 1,729.16
  4. Step 4: Simplify right side
    2,343.81x = 6,082,179.95
  5. Step 5: Solve for x
    x = 6,082,179.95/2,343.81
  6. Step 6: Final answer
    x = 2,595.00

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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.