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Finding the Fourth Proportional to 1,725.81, 2,380.43 and 1,253.22

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Solution

The fourth proportional to 1,725.81, 2,380.43 and 1,253.22 is: 1,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.81 : 2,380.43 = 1,253.22 : x
  2. Step 2: Convert to fraction form
    1,725.81/2,380.43 = 1,253.22/x
  3. Step 3: Cross multiply
    1,725.81x = 2,380.43 × 1,253.22
  4. Step 4: Simplify right side
    1,725.81x = 2,983,196.22
  5. Step 5: Solve for x
    x = 2,983,196.22/1,725.81
  6. Step 6: Final answer
    x = 1,728.58

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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.