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Finding the Fourth Proportional to 1,725.12, 2,591.66 and 996.48

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Solution

The fourth proportional to 1,725.12, 2,591.66 and 996.48 is: 1,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.12 : 2,591.66 = 996.48 : x
  2. Step 2: Convert to fraction form
    1,725.12/2,591.66 = 996.48/x
  3. Step 3: Cross multiply
    1,725.12x = 2,591.66 × 996.48
  4. Step 4: Simplify right side
    1,725.12x = 2,582,537.36
  5. Step 5: Solve for x
    x = 2,582,537.36/1,725.12
  6. Step 6: Final answer
    x = 1,497.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.