Home / 1,514.24-2,270.76-589.32

Finding the Fourth Proportional to 1,514.24, 2,270.76 and 589.32

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Solution

The fourth proportional to 1,514.24, 2,270.76 and 589.32 is: 883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.24 : 2,270.76 = 589.32 : x
  2. Step 2: Convert to fraction form
    1,514.24/2,270.76 = 589.32/x
  3. Step 3: Cross multiply
    1,514.24x = 2,270.76 × 589.32
  4. Step 4: Simplify right side
    1,514.24x = 1,338,204.28
  5. Step 5: Solve for x
    x = 1,338,204.28/1,514.24
  6. Step 6: Final answer
    x = 883.75

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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.