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Finding the Fourth Proportional to 2,064, 2,850.24 and 1,514.88

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Solution

The fourth proportional to 2,064, 2,850.24 and 1,514.88 is: 2,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064 : 2,850.24 = 1,514.88 : x
  2. Step 2: Convert to fraction form
    2,064/2,850.24 = 1,514.88/x
  3. Step 3: Cross multiply
    2,064x = 2,850.24 × 1,514.88
  4. Step 4: Simplify right side
    2,064x = 4,317,771.57
  5. Step 5: Solve for x
    x = 4,317,771.57/2,064
  6. Step 6: Final answer
    x = 2,091.94

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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.