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Finding the Fourth Proportional to 1,514.28, 2,266.98 and 1,150.50

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Solution

The fourth proportional to 1,514.28, 2,266.98 and 1,150.50 is: 1,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.28 : 2,266.98 = 1,150.50 : x
  2. Step 2: Convert to fraction form
    1,514.28/2,266.98 = 1,150.50/x
  3. Step 3: Cross multiply
    1,514.28x = 2,266.98 × 1,150.50
  4. Step 4: Simplify right side
    1,514.28x = 2,608,160.49
  5. Step 5: Solve for x
    x = 2,608,160.49/1,514.28
  6. Step 6: Final answer
    x = 1,722.38

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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.