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Finding the Fourth Proportional to 1,726.13, 2,379.84 and 1,254.71

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Solution

The fourth proportional to 1,726.13, 2,379.84 and 1,254.71 is: 1,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.13 : 2,379.84 = 1,254.71 : x
  2. Step 2: Convert to fraction form
    1,726.13/2,379.84 = 1,254.71/x
  3. Step 3: Cross multiply
    1,726.13x = 2,379.84 × 1,254.71
  4. Step 4: Simplify right side
    1,726.13x = 2,986,009.05
  5. Step 5: Solve for x
    x = 2,986,009.05/1,726.13
  6. Step 6: Final answer
    x = 1,729.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.