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Finding the Fourth Proportional to 2,965.60, 4,447.86 and 1,505.44

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Solution

The fourth proportional to 2,965.60, 4,447.86 and 1,505.44 is: 2,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.60 : 4,447.86 = 1,505.44 : x
  2. Step 2: Convert to fraction form
    2,965.60/4,447.86 = 1,505.44/x
  3. Step 3: Cross multiply
    2,965.60x = 4,447.86 × 1,505.44
  4. Step 4: Simplify right side
    2,965.60x = 6,695,986.36
  5. Step 5: Solve for x
    x = 6,695,986.36/2,965.60
  6. Step 6: Final answer
    x = 2,257.89

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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.