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Finding the Fourth Proportional to 2,560.60, 3,841.50 and 829.22

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Solution

The fourth proportional to 2,560.60, 3,841.50 and 829.22 is: 1,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.60 : 3,841.50 = 829.22 : x
  2. Step 2: Convert to fraction form
    2,560.60/3,841.50 = 829.22/x
  3. Step 3: Cross multiply
    2,560.60x = 3,841.50 × 829.22
  4. Step 4: Simplify right side
    2,560.60x = 3,185,458.23
  5. Step 5: Solve for x
    x = 3,185,458.23/2,560.60
  6. Step 6: Final answer
    x = 1,244.03

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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.