Home / 1,552.06-2,144.78-1,178.38

Finding the Fourth Proportional to 1,552.06, 2,144.78 and 1,178.38

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Solution

The fourth proportional to 1,552.06, 2,144.78 and 1,178.38 is: 1,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.06 : 2,144.78 = 1,178.38 : x
  2. Step 2: Convert to fraction form
    1,552.06/2,144.78 = 1,178.38/x
  3. Step 3: Cross multiply
    1,552.06x = 2,144.78 × 1,178.38
  4. Step 4: Simplify right side
    1,552.06x = 2,527,365.86
  5. Step 5: Solve for x
    x = 2,527,365.86/1,552.06
  6. Step 6: Final answer
    x = 1,628.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.