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Finding the Fourth Proportional to 1,726.35, 2,588.06 and 751.73

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Solution

The fourth proportional to 1,726.35, 2,588.06 and 751.73 is: 1,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.35 : 2,588.06 = 751.73 : x
  2. Step 2: Convert to fraction form
    1,726.35/2,588.06 = 751.73/x
  3. Step 3: Cross multiply
    1,726.35x = 2,588.06 × 751.73
  4. Step 4: Simplify right side
    1,726.35x = 1,945,505.64
  5. Step 5: Solve for x
    x = 1,945,505.64/1,726.35
  6. Step 6: Final answer
    x = 1,126.95

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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.