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Finding the Fourth Proportional to 1,514.64, 2,090 and 851.36

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Solution

The fourth proportional to 1,514.64, 2,090 and 851.36 is: 1,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.64 : 2,090 = 851.36 : x
  2. Step 2: Convert to fraction form
    1,514.64/2,090 = 851.36/x
  3. Step 3: Cross multiply
    1,514.64x = 2,090 × 851.36
  4. Step 4: Simplify right side
    1,514.64x = 1,779,342.40
  5. Step 5: Solve for x
    x = 1,779,342.40/1,514.64
  6. Step 6: Final answer
    x = 1,174.76

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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.