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Finding the Fourth Proportional to 1,514.96, 2,270.47 and 681.41

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Solution

The fourth proportional to 1,514.96, 2,270.47 and 681.41 is: 1,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.96 : 2,270.47 = 681.41 : x
  2. Step 2: Convert to fraction form
    1,514.96/2,270.47 = 681.41/x
  3. Step 3: Cross multiply
    1,514.96x = 2,270.47 × 681.41
  4. Step 4: Simplify right side
    1,514.96x = 1,547,107.91
  5. Step 5: Solve for x
    x = 1,547,107.91/1,514.96
  6. Step 6: Final answer
    x = 1,021.22

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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.