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Finding the Fourth Proportional to 2,533.96, 3,801.47 and 1,073.11

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Solution

The fourth proportional to 2,533.96, 3,801.47 and 1,073.11 is: 1,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.96 : 3,801.47 = 1,073.11 : x
  2. Step 2: Convert to fraction form
    2,533.96/3,801.47 = 1,073.11/x
  3. Step 3: Cross multiply
    2,533.96x = 3,801.47 × 1,073.11
  4. Step 4: Simplify right side
    2,533.96x = 4,079,397.60
  5. Step 5: Solve for x
    x = 4,079,397.60/2,533.96
  6. Step 6: Final answer
    x = 1,609.89

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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.