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Finding the Fourth Proportional to 1,722.76, 2,585.49 and 1,260.73

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Solution

The fourth proportional to 1,722.76, 2,585.49 and 1,260.73 is: 1,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.76 : 2,585.49 = 1,260.73 : x
  2. Step 2: Convert to fraction form
    1,722.76/2,585.49 = 1,260.73/x
  3. Step 3: Cross multiply
    1,722.76x = 2,585.49 × 1,260.73
  4. Step 4: Simplify right side
    1,722.76x = 3,259,604.81
  5. Step 5: Solve for x
    x = 3,259,604.81/1,722.76
  6. Step 6: Final answer
    x = 1,892.08

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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.