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Finding the Fourth Proportional to 1,725.97, 2,384.63 and 1,204.33

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Solution

The fourth proportional to 1,725.97, 2,384.63 and 1,204.33 is: 1,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.97 : 2,384.63 = 1,204.33 : x
  2. Step 2: Convert to fraction form
    1,725.97/2,384.63 = 1,204.33/x
  3. Step 3: Cross multiply
    1,725.97x = 2,384.63 × 1,204.33
  4. Step 4: Simplify right side
    1,725.97x = 2,871,881.45
  5. Step 5: Solve for x
    x = 2,871,881.45/1,725.97
  6. Step 6: Final answer
    x = 1,663.92

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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.