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Finding the Fourth Proportional to 1,725.50, 2,383.53 and 1,643.49

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Solution

The fourth proportional to 1,725.50, 2,383.53 and 1,643.49 is: 2,270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.50 : 2,383.53 = 1,643.49 : x
  2. Step 2: Convert to fraction form
    1,725.50/2,383.53 = 1,643.49/x
  3. Step 3: Cross multiply
    1,725.50x = 2,383.53 × 1,643.49
  4. Step 4: Simplify right side
    1,725.50x = 3,917,301.56
  5. Step 5: Solve for x
    x = 3,917,301.56/1,725.50
  6. Step 6: Final answer
    x = 2,270.24

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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.