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Finding the Fourth Proportional to 2,693.60, 3,717.17 and 1,514.67

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Solution

The fourth proportional to 2,693.60, 3,717.17 and 1,514.67 is: 2,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.60 : 3,717.17 = 1,514.67 : x
  2. Step 2: Convert to fraction form
    2,693.60/3,717.17 = 1,514.67/x
  3. Step 3: Cross multiply
    2,693.60x = 3,717.17 × 1,514.67
  4. Step 4: Simplify right side
    2,693.60x = 5,630,278.31
  5. Step 5: Solve for x
    x = 5,630,278.31/2,693.60
  6. Step 6: Final answer
    x = 2,090.25

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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.