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Finding the Fourth Proportional to 2,693.52, 3,717.24 and 1,514.70

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Solution

The fourth proportional to 2,693.52, 3,717.24 and 1,514.70 is: 2,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.52 : 3,717.24 = 1,514.70 : x
  2. Step 2: Convert to fraction form
    2,693.52/3,717.24 = 1,514.70/x
  3. Step 3: Cross multiply
    2,693.52x = 3,717.24 × 1,514.70
  4. Step 4: Simplify right side
    2,693.52x = 5,630,503.43
  5. Step 5: Solve for x
    x = 5,630,503.43/2,693.52
  6. Step 6: Final answer
    x = 2,090.39

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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.