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Finding the Fourth Proportional to 1,726.56, 2,589.49 and 1,435.93

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Solution

The fourth proportional to 1,726.56, 2,589.49 and 1,435.93 is: 2,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.56 : 2,589.49 = 1,435.93 : x
  2. Step 2: Convert to fraction form
    1,726.56/2,589.49 = 1,435.93/x
  3. Step 3: Cross multiply
    1,726.56x = 2,589.49 × 1,435.93
  4. Step 4: Simplify right side
    1,726.56x = 3,718,324.84
  5. Step 5: Solve for x
    x = 3,718,324.84/1,726.56
  6. Step 6: Final answer
    x = 2,153.60

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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.