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Finding the Fourth Proportional to 1,546.73, 2,320.10 and 725.79

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Solution

The fourth proportional to 1,546.73, 2,320.10 and 725.79 is: 1,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.73 : 2,320.10 = 725.79 : x
  2. Step 2: Convert to fraction form
    1,546.73/2,320.10 = 725.79/x
  3. Step 3: Cross multiply
    1,546.73x = 2,320.10 × 725.79
  4. Step 4: Simplify right side
    1,546.73x = 1,683,901.75
  5. Step 5: Solve for x
    x = 1,683,901.75/1,546.73
  6. Step 6: Final answer
    x = 1,088.69

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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.