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Finding the Fourth Proportional to 1,514.83, 2,090.50 and 842.69

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Solution

The fourth proportional to 1,514.83, 2,090.50 and 842.69 is: 1,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.83 : 2,090.50 = 842.69 : x
  2. Step 2: Convert to fraction form
    1,514.83/2,090.50 = 842.69/x
  3. Step 3: Cross multiply
    1,514.83x = 2,090.50 × 842.69
  4. Step 4: Simplify right side
    1,514.83x = 1,761,647.08
  5. Step 5: Solve for x
    x = 1,761,647.08/1,514.83
  6. Step 6: Final answer
    x = 1,162.93

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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.