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Finding the Fourth Proportional to 1,729.80, 2,389.10 and 1,142.96

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Solution

The fourth proportional to 1,729.80, 2,389.10 and 1,142.96 is: 1,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.80 : 2,389.10 = 1,142.96 : x
  2. Step 2: Convert to fraction form
    1,729.80/2,389.10 = 1,142.96/x
  3. Step 3: Cross multiply
    1,729.80x = 2,389.10 × 1,142.96
  4. Step 4: Simplify right side
    1,729.80x = 2,730,628.08
  5. Step 5: Solve for x
    x = 2,730,628.08/1,729.80
  6. Step 6: Final answer
    x = 1,578.58

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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.