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Finding the Fourth Proportional to 4,615.49, 6,922.98 and 2,018.42

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Solution

The fourth proportional to 4,615.49, 6,922.98 and 2,018.42 is: 3,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.49 : 6,922.98 = 2,018.42 : x
  2. Step 2: Convert to fraction form
    4,615.49/6,922.98 = 2,018.42/x
  3. Step 3: Cross multiply
    4,615.49x = 6,922.98 × 2,018.42
  4. Step 4: Simplify right side
    4,615.49x = 13,973,481.29
  5. Step 5: Solve for x
    x = 13,973,481.29/4,615.49
  6. Step 6: Final answer
    x = 3,027.52

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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.