Home / 1,548.42-2,120.75-1,509.54

Finding the Fourth Proportional to 1,548.42, 2,120.75 and 1,509.54

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Solution

The fourth proportional to 1,548.42, 2,120.75 and 1,509.54 is: 2,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.42 : 2,120.75 = 1,509.54 : x
  2. Step 2: Convert to fraction form
    1,548.42/2,120.75 = 1,509.54/x
  3. Step 3: Cross multiply
    1,548.42x = 2,120.75 × 1,509.54
  4. Step 4: Simplify right side
    1,548.42x = 3,201,349.41
  5. Step 5: Solve for x
    x = 3,201,349.41/1,548.42
  6. Step 6: Final answer
    x = 2,067.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.