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Finding the Fourth Proportional to 4,418.40, 6,627.90 and 1,496.94

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Solution

The fourth proportional to 4,418.40, 6,627.90 and 1,496.94 is: 2,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418.40 : 6,627.90 = 1,496.94 : x
  2. Step 2: Convert to fraction form
    4,418.40/6,627.90 = 1,496.94/x
  3. Step 3: Cross multiply
    4,418.40x = 6,627.90 × 1,496.94
  4. Step 4: Simplify right side
    4,418.40x = 9,921,568.63
  5. Step 5: Solve for x
    x = 9,921,568.63/4,418.40
  6. Step 6: Final answer
    x = 2,245.51

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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.