Home / 1,548.10-2,322.41-768.14

Finding the Fourth Proportional to 1,548.10, 2,322.41 and 768.14

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Solution

The fourth proportional to 1,548.10, 2,322.41 and 768.14 is: 1,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.10 : 2,322.41 = 768.14 : x
  2. Step 2: Convert to fraction form
    1,548.10/2,322.41 = 768.14/x
  3. Step 3: Cross multiply
    1,548.10x = 2,322.41 × 768.14
  4. Step 4: Simplify right side
    1,548.10x = 1,783,942.29
  5. Step 5: Solve for x
    x = 1,783,942.29/1,548.10
  6. Step 6: Final answer
    x = 1,152.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.