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Finding the Fourth Proportional to 1,514.28, 2,269.74 and 863.58

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Solution

The fourth proportional to 1,514.28, 2,269.74 and 863.58 is: 1,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.28 : 2,269.74 = 863.58 : x
  2. Step 2: Convert to fraction form
    1,514.28/2,269.74 = 863.58/x
  3. Step 3: Cross multiply
    1,514.28x = 2,269.74 × 863.58
  4. Step 4: Simplify right side
    1,514.28x = 1,960,102.07
  5. Step 5: Solve for x
    x = 1,960,102.07/1,514.28
  6. Step 6: Final answer
    x = 1,294.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.