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Finding the Fourth Proportional to 1,726.80, 2,588.87 and 849.03

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Solution

The fourth proportional to 1,726.80, 2,588.87 and 849.03 is: 1,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.80 : 2,588.87 = 849.03 : x
  2. Step 2: Convert to fraction form
    1,726.80/2,588.87 = 849.03/x
  3. Step 3: Cross multiply
    1,726.80x = 2,588.87 × 849.03
  4. Step 4: Simplify right side
    1,726.80x = 2,198,024.05
  5. Step 5: Solve for x
    x = 2,198,024.05/1,726.80
  6. Step 6: Final answer
    x = 1,272.89

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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.