Home / 1,514.76-2,272.14-419.15

Finding the Fourth Proportional to 1,514.76, 2,272.14 and 419.15

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Solution

The fourth proportional to 1,514.76, 2,272.14 and 419.15 is: 628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.76 : 2,272.14 = 419.15 : x
  2. Step 2: Convert to fraction form
    1,514.76/2,272.14 = 419.15/x
  3. Step 3: Cross multiply
    1,514.76x = 2,272.14 × 419.15
  4. Step 4: Simplify right side
    1,514.76x = 952,356.12
  5. Step 5: Solve for x
    x = 952,356.12/1,514.76
  6. Step 6: Final answer
    x = 628.72

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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.