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Finding the Fourth Proportional to 1,514.71, 2,090.23 and 842.55

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Solution

The fourth proportional to 1,514.71, 2,090.23 and 842.55 is: 1,162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.71 : 2,090.23 = 842.55 : x
  2. Step 2: Convert to fraction form
    1,514.71/2,090.23 = 842.55/x
  3. Step 3: Cross multiply
    1,514.71x = 2,090.23 × 842.55
  4. Step 4: Simplify right side
    1,514.71x = 1,761,127.47
  5. Step 5: Solve for x
    x = 1,761,127.47/1,514.71
  6. Step 6: Final answer
    x = 1,162.68

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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.