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Finding the Fourth Proportional to 1,729.68, 2,384.67 and 1,376.82

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Solution

The fourth proportional to 1,729.68, 2,384.67 and 1,376.82 is: 1,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.68 : 2,384.67 = 1,376.82 : x
  2. Step 2: Convert to fraction form
    1,729.68/2,384.67 = 1,376.82/x
  3. Step 3: Cross multiply
    1,729.68x = 2,384.67 × 1,376.82
  4. Step 4: Simplify right side
    1,729.68x = 3,283,261.35
  5. Step 5: Solve for x
    x = 3,283,261.35/1,729.68
  6. Step 6: Final answer
    x = 1,898.19

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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.