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Finding the Fourth Proportional to 1,514.70, 2,268.40 and 1,026.27

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Solution

The fourth proportional to 1,514.70, 2,268.40 and 1,026.27 is: 1,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.70 : 2,268.40 = 1,026.27 : x
  2. Step 2: Convert to fraction form
    1,514.70/2,268.40 = 1,026.27/x
  3. Step 3: Cross multiply
    1,514.70x = 2,268.40 × 1,026.27
  4. Step 4: Simplify right side
    1,514.70x = 2,327,985.20
  5. Step 5: Solve for x
    x = 2,327,985.20/1,514.70
  6. Step 6: Final answer
    x = 1,536.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.