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Finding the Fourth Proportional to 1,514.96, 2,090.12 and 917.63

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Solution

The fourth proportional to 1,514.96, 2,090.12 and 917.63 is: 1,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.96 : 2,090.12 = 917.63 : x
  2. Step 2: Convert to fraction form
    1,514.96/2,090.12 = 917.63/x
  3. Step 3: Cross multiply
    1,514.96x = 2,090.12 × 917.63
  4. Step 4: Simplify right side
    1,514.96x = 1,917,964.33
  5. Step 5: Solve for x
    x = 1,917,964.33/1,514.96
  6. Step 6: Final answer
    x = 1,266.02

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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.