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Finding the Fourth Proportional to 1,514.19, 2,272.43 and 681.51

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Solution

The fourth proportional to 1,514.19, 2,272.43 and 681.51 is: 1,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.19 : 2,272.43 = 681.51 : x
  2. Step 2: Convert to fraction form
    1,514.19/2,272.43 = 681.51/x
  3. Step 3: Cross multiply
    1,514.19x = 2,272.43 × 681.51
  4. Step 4: Simplify right side
    1,514.19x = 1,548,683.77
  5. Step 5: Solve for x
    x = 1,548,683.77/1,514.19
  6. Step 6: Final answer
    x = 1,022.78

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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.