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Finding the Fourth Proportional to 2,534.46, 3,801.64 and 803.09

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Solution

The fourth proportional to 2,534.46, 3,801.64 and 803.09 is: 1,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.46 : 3,801.64 = 803.09 : x
  2. Step 2: Convert to fraction form
    2,534.46/3,801.64 = 803.09/x
  3. Step 3: Cross multiply
    2,534.46x = 3,801.64 × 803.09
  4. Step 4: Simplify right side
    2,534.46x = 3,053,059.07
  5. Step 5: Solve for x
    x = 3,053,059.07/2,534.46
  6. Step 6: Final answer
    x = 1,204.62

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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.