Home / 1,535.72-2,302.14-850.28

Finding the Fourth Proportional to 1,535.72, 2,302.14 and 850.28

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Solution

The fourth proportional to 1,535.72, 2,302.14 and 850.28 is: 1,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.72 : 2,302.14 = 850.28 : x
  2. Step 2: Convert to fraction form
    1,535.72/2,302.14 = 850.28/x
  3. Step 3: Cross multiply
    1,535.72x = 2,302.14 × 850.28
  4. Step 4: Simplify right side
    1,535.72x = 1,957,463.60
  5. Step 5: Solve for x
    x = 1,957,463.60/1,535.72
  6. Step 6: Final answer
    x = 1,274.62

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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.