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Finding the Fourth Proportional to 1,551.05, 2,134.19 and 1,514.14

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Solution

The fourth proportional to 1,551.05, 2,134.19 and 1,514.14 is: 2,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.05 : 2,134.19 = 1,514.14 : x
  2. Step 2: Convert to fraction form
    1,551.05/2,134.19 = 1,514.14/x
  3. Step 3: Cross multiply
    1,551.05x = 2,134.19 × 1,514.14
  4. Step 4: Simplify right side
    1,551.05x = 3,231,449.54
  5. Step 5: Solve for x
    x = 3,231,449.54/1,551.05
  6. Step 6: Final answer
    x = 2,083.40

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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.