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Finding the Fourth Proportional to 1,726.57, 2,585.97 and 1,333.81

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Solution

The fourth proportional to 1,726.57, 2,585.97 and 1,333.81 is: 1,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.57 : 2,585.97 = 1,333.81 : x
  2. Step 2: Convert to fraction form
    1,726.57/2,585.97 = 1,333.81/x
  3. Step 3: Cross multiply
    1,726.57x = 2,585.97 × 1,333.81
  4. Step 4: Simplify right side
    1,726.57x = 3,449,192.65
  5. Step 5: Solve for x
    x = 3,449,192.65/1,726.57
  6. Step 6: Final answer
    x = 1,997.71

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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.