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Finding the Fourth Proportional to 1,571.86, 2,169.25 and 942.49

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Solution

The fourth proportional to 1,571.86, 2,169.25 and 942.49 is: 1,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.86 : 2,169.25 = 942.49 : x
  2. Step 2: Convert to fraction form
    1,571.86/2,169.25 = 942.49/x
  3. Step 3: Cross multiply
    1,571.86x = 2,169.25 × 942.49
  4. Step 4: Simplify right side
    1,571.86x = 2,044,488.65
  5. Step 5: Solve for x
    x = 2,044,488.65/1,571.86
  6. Step 6: Final answer
    x = 1,300.68

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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.