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Finding the Fourth Proportional to 2,841.54, 4,263.24 and 1,455.24

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Solution

The fourth proportional to 2,841.54, 4,263.24 and 1,455.24 is: 2,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.54 : 4,263.24 = 1,455.24 : x
  2. Step 2: Convert to fraction form
    2,841.54/4,263.24 = 1,455.24/x
  3. Step 3: Cross multiply
    2,841.54x = 4,263.24 × 1,455.24
  4. Step 4: Simplify right side
    2,841.54x = 6,204,037.38
  5. Step 5: Solve for x
    x = 6,204,037.38/2,841.54
  6. Step 6: Final answer
    x = 2,183.34

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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.