Home / 1,923.08-2,882.96-768.08

Finding the Fourth Proportional to 1,923.08, 2,882.96 and 768.08

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Solution

The fourth proportional to 1,923.08, 2,882.96 and 768.08 is: 1,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.08 : 2,882.96 = 768.08 : x
  2. Step 2: Convert to fraction form
    1,923.08/2,882.96 = 768.08/x
  3. Step 3: Cross multiply
    1,923.08x = 2,882.96 × 768.08
  4. Step 4: Simplify right side
    1,923.08x = 2,214,343.92
  5. Step 5: Solve for x
    x = 2,214,343.92/1,923.08
  6. Step 6: Final answer
    x = 1,151.46

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1.5x scale

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.