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Finding the Fourth Proportional to 1,514.93, 2,272.41 and 540.35

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Solution

The fourth proportional to 1,514.93, 2,272.41 and 540.35 is: 810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.93 : 2,272.41 = 540.35 : x
  2. Step 2: Convert to fraction form
    1,514.93/2,272.41 = 540.35/x
  3. Step 3: Cross multiply
    1,514.93x = 2,272.41 × 540.35
  4. Step 4: Simplify right side
    1,514.93x = 1,227,896.74
  5. Step 5: Solve for x
    x = 1,227,896.74/1,514.93
  6. Step 6: Final answer
    x = 810.53

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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.