Home / 1,942.38-2,678.77-1,155.06

Finding the Fourth Proportional to 1,942.38, 2,678.77 and 1,155.06

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Solution

The fourth proportional to 1,942.38, 2,678.77 and 1,155.06 is: 1,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.38 : 2,678.77 = 1,155.06 : x
  2. Step 2: Convert to fraction form
    1,942.38/2,678.77 = 1,155.06/x
  3. Step 3: Cross multiply
    1,942.38x = 2,678.77 × 1,155.06
  4. Step 4: Simplify right side
    1,942.38x = 3,094,141.52
  5. Step 5: Solve for x
    x = 3,094,141.52/1,942.38
  6. Step 6: Final answer
    x = 1,592.96

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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.