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Finding the Fourth Proportional to 1,514.66, 2,272.02 and 997.96

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Solution

The fourth proportional to 1,514.66, 2,272.02 and 997.96 is: 1,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.66 : 2,272.02 = 997.96 : x
  2. Step 2: Convert to fraction form
    1,514.66/2,272.02 = 997.96/x
  3. Step 3: Cross multiply
    1,514.66x = 2,272.02 × 997.96
  4. Step 4: Simplify right side
    1,514.66x = 2,267,385.08
  5. Step 5: Solve for x
    x = 2,267,385.08/1,514.66
  6. Step 6: Final answer
    x = 1,496.96

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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.