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Finding the Fourth Proportional to 1,514.22, 2,269.98 and 540.18

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Solution

The fourth proportional to 1,514.22, 2,269.98 and 540.18 is: 809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.22 : 2,269.98 = 540.18 : x
  2. Step 2: Convert to fraction form
    1,514.22/2,269.98 = 540.18/x
  3. Step 3: Cross multiply
    1,514.22x = 2,269.98 × 540.18
  4. Step 4: Simplify right side
    1,514.22x = 1,226,197.80
  5. Step 5: Solve for x
    x = 1,226,197.80/1,514.22
  6. Step 6: Final answer
    x = 809.79

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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.