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Finding the Fourth Proportional to 1,514.61, 2,090.14 and 842.41

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Solution

The fourth proportional to 1,514.61, 2,090.14 and 842.41 is: 1,162.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.61 : 2,090.14 = 842.41 : x
  2. Step 2: Convert to fraction form
    1,514.61/2,090.14 = 842.41/x
  3. Step 3: Cross multiply
    1,514.61x = 2,090.14 × 842.41
  4. Step 4: Simplify right side
    1,514.61x = 1,760,745.17
  5. Step 5: Solve for x
    x = 1,760,745.17/1,514.61
  6. Step 6: Final answer
    x = 1,162.51

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Why These Related Problems?

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