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Finding the Fourth Proportional to 1,571.72, 2,339.62 and 1,548.36

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Solution

The fourth proportional to 1,571.72, 2,339.62 and 1,548.36 is: 2,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.72 : 2,339.62 = 1,548.36 : x
  2. Step 2: Convert to fraction form
    1,571.72/2,339.62 = 1,548.36/x
  3. Step 3: Cross multiply
    1,571.72x = 2,339.62 × 1,548.36
  4. Step 4: Simplify right side
    1,571.72x = 3,622,570.15
  5. Step 5: Solve for x
    x = 3,622,570.15/1,571.72
  6. Step 6: Final answer
    x = 2,304.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.