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Finding the Fourth Proportional to 1,729.76, 2,384.57 and 1,232.21

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Solution

The fourth proportional to 1,729.76, 2,384.57 and 1,232.21 is: 1,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.76 : 2,384.57 = 1,232.21 : x
  2. Step 2: Convert to fraction form
    1,729.76/2,384.57 = 1,232.21/x
  3. Step 3: Cross multiply
    1,729.76x = 2,384.57 × 1,232.21
  4. Step 4: Simplify right side
    1,729.76x = 2,938,300.04
  5. Step 5: Solve for x
    x = 2,938,300.04/1,729.76
  6. Step 6: Final answer
    x = 1,698.68

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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.