Home / 1,554.33-2,330.49-824.25

Finding the Fourth Proportional to 1,554.33, 2,330.49 and 824.25

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Solution

The fourth proportional to 1,554.33, 2,330.49 and 824.25 is: 1,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.33 : 2,330.49 = 824.25 : x
  2. Step 2: Convert to fraction form
    1,554.33/2,330.49 = 824.25/x
  3. Step 3: Cross multiply
    1,554.33x = 2,330.49 × 824.25
  4. Step 4: Simplify right side
    1,554.33x = 1,920,906.38
  5. Step 5: Solve for x
    x = 1,920,906.38/1,554.33
  6. Step 6: Final answer
    x = 1,235.84

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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.