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Finding the Fourth Proportional to 1,571.98, 2,169.06 and 908.83

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Solution

The fourth proportional to 1,571.98, 2,169.06 and 908.83 is: 1,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.98 : 2,169.06 = 908.83 : x
  2. Step 2: Convert to fraction form
    1,571.98/2,169.06 = 908.83/x
  3. Step 3: Cross multiply
    1,571.98x = 2,169.06 × 908.83
  4. Step 4: Simplify right side
    1,571.98x = 1,971,306.80
  5. Step 5: Solve for x
    x = 1,971,306.80/1,571.98
  6. Step 6: Final answer
    x = 1,254.03

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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.