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Finding the Fourth Proportional to 2,633.43, 3,634.02 and 1,514.28

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Solution

The fourth proportional to 2,633.43, 3,634.02 and 1,514.28 is: 2,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.43 : 3,634.02 = 1,514.28 : x
  2. Step 2: Convert to fraction form
    2,633.43/3,634.02 = 1,514.28/x
  3. Step 3: Cross multiply
    2,633.43x = 3,634.02 × 1,514.28
  4. Step 4: Simplify right side
    2,633.43x = 5,502,923.81
  5. Step 5: Solve for x
    x = 5,502,923.81/2,633.43
  6. Step 6: Final answer
    x = 2,089.64

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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.