Home / 1,924.80-2,882.16-1,492.32

Finding the Fourth Proportional to 1,924.80, 2,882.16 and 1,492.32

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Solution

The fourth proportional to 1,924.80, 2,882.16 and 1,492.32 is: 2,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.80 : 2,882.16 = 1,492.32 : x
  2. Step 2: Convert to fraction form
    1,924.80/2,882.16 = 1,492.32/x
  3. Step 3: Cross multiply
    1,924.80x = 2,882.16 × 1,492.32
  4. Step 4: Simplify right side
    1,924.80x = 4,301,105.01
  5. Step 5: Solve for x
    x = 4,301,105.01/1,924.80
  6. Step 6: Final answer
    x = 2,234.57

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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.