Home / 1,408.62-2,111.06-824.20

Finding the Fourth Proportional to 1,408.62, 2,111.06 and 824.20

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Solution

The fourth proportional to 1,408.62, 2,111.06 and 824.20 is: 1,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.62 : 2,111.06 = 824.20 : x
  2. Step 2: Convert to fraction form
    1,408.62/2,111.06 = 824.20/x
  3. Step 3: Cross multiply
    1,408.62x = 2,111.06 × 824.20
  4. Step 4: Simplify right side
    1,408.62x = 1,739,935.65
  5. Step 5: Solve for x
    x = 1,739,935.65/1,408.62
  6. Step 6: Final answer
    x = 1,235.21

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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.