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Finding the Fourth Proportional to 1,571.54, 2,169.31 and 1,349.60

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Solution

The fourth proportional to 1,571.54, 2,169.31 and 1,349.60 is: 1,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.54 : 2,169.31 = 1,349.60 : x
  2. Step 2: Convert to fraction form
    1,571.54/2,169.31 = 1,349.60/x
  3. Step 3: Cross multiply
    1,571.54x = 2,169.31 × 1,349.60
  4. Step 4: Simplify right side
    1,571.54x = 2,927,700.78
  5. Step 5: Solve for x
    x = 2,927,700.78/1,571.54
  6. Step 6: Final answer
    x = 1,862.95

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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.