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Finding the Fourth Proportional to 2,965.88, 4,447.79 and 1,404.59

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Solution

The fourth proportional to 2,965.88, 4,447.79 and 1,404.59 is: 2,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.88 : 4,447.79 = 1,404.59 : x
  2. Step 2: Convert to fraction form
    2,965.88/4,447.79 = 1,404.59/x
  3. Step 3: Cross multiply
    2,965.88x = 4,447.79 × 1,404.59
  4. Step 4: Simplify right side
    2,965.88x = 6,247,292.09
  5. Step 5: Solve for x
    x = 6,247,292.09/2,965.88
  6. Step 6: Final answer
    x = 2,106.39

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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.