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Finding the Fourth Proportional to 1,514.58, 2,090.14 and 851.39

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Solution

The fourth proportional to 1,514.58, 2,090.14 and 851.39 is: 1,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.58 : 2,090.14 = 851.39 : x
  2. Step 2: Convert to fraction form
    1,514.58/2,090.14 = 851.39/x
  3. Step 3: Cross multiply
    1,514.58x = 2,090.14 × 851.39
  4. Step 4: Simplify right side
    1,514.58x = 1,779,520.04
  5. Step 5: Solve for x
    x = 1,779,520.04/1,514.58
  6. Step 6: Final answer
    x = 1,174.93

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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.