Home / 1,528.38-2,292.12-825.48

Finding the Fourth Proportional to 1,528.38, 2,292.12 and 825.48

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Solution

The fourth proportional to 1,528.38, 2,292.12 and 825.48 is: 1,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.38 : 2,292.12 = 825.48 : x
  2. Step 2: Convert to fraction form
    1,528.38/2,292.12 = 825.48/x
  3. Step 3: Cross multiply
    1,528.38x = 2,292.12 × 825.48
  4. Step 4: Simplify right side
    1,528.38x = 1,892,099.22
  5. Step 5: Solve for x
    x = 1,892,099.22/1,528.38
  6. Step 6: Final answer
    x = 1,237.98

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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.