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Finding the Fourth Proportional to 2,633.94, 3,633.66 and 1,514.52

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Solution

The fourth proportional to 2,633.94, 3,633.66 and 1,514.52 is: 2,089.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.94 : 3,633.66 = 1,514.52 : x
  2. Step 2: Convert to fraction form
    2,633.94/3,633.66 = 1,514.52/x
  3. Step 3: Cross multiply
    2,633.94x = 3,633.66 × 1,514.52
  4. Step 4: Simplify right side
    2,633.94x = 5,503,250.74
  5. Step 5: Solve for x
    x = 5,503,250.74/2,633.94
  6. Step 6: Final answer
    x = 2,089.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.