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Finding the Fourth Proportional to 1,514.88, 2,090.41 and 842.61

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Solution

The fourth proportional to 1,514.88, 2,090.41 and 842.61 is: 1,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.88 : 2,090.41 = 842.61 : x
  2. Step 2: Convert to fraction form
    1,514.88/2,090.41 = 842.61/x
  3. Step 3: Cross multiply
    1,514.88x = 2,090.41 × 842.61
  4. Step 4: Simplify right side
    1,514.88x = 1,761,400.37
  5. Step 5: Solve for x
    x = 1,761,400.37/1,514.88
  6. Step 6: Final answer
    x = 1,162.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.