Home / 1,535.08-2,302.62-380.82

Finding the Fourth Proportional to 1,535.08, 2,302.62 and 380.82

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Solution

The fourth proportional to 1,535.08, 2,302.62 and 380.82 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.08 : 2,302.62 = 380.82 : x
  2. Step 2: Convert to fraction form
    1,535.08/2,302.62 = 380.82/x
  3. Step 3: Cross multiply
    1,535.08x = 2,302.62 × 380.82
  4. Step 4: Simplify right side
    1,535.08x = 876,883.75
  5. Step 5: Solve for x
    x = 876,883.75/1,535.08
  6. Step 6: Final answer
    x = 571.23

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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.