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Finding the Fourth Proportional to 2,906.55, 4,352.54 and 1,514.97

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Solution

The fourth proportional to 2,906.55, 4,352.54 and 1,514.97 is: 2,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.55 : 4,352.54 = 1,514.97 : x
  2. Step 2: Convert to fraction form
    2,906.55/4,352.54 = 1,514.97/x
  3. Step 3: Cross multiply
    2,906.55x = 4,352.54 × 1,514.97
  4. Step 4: Simplify right side
    2,906.55x = 6,593,959.95
  5. Step 5: Solve for x
    x = 6,593,959.95/2,906.55
  6. Step 6: Final answer
    x = 2,268.66

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Why These Related Problems?

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