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Finding the Fourth Proportional to 3,174.54, 4,759.07 and 1,528.83

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Solution

The fourth proportional to 3,174.54, 4,759.07 and 1,528.83 is: 2,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.54 : 4,759.07 = 1,528.83 : x
  2. Step 2: Convert to fraction form
    3,174.54/4,759.07 = 1,528.83/x
  3. Step 3: Cross multiply
    3,174.54x = 4,759.07 × 1,528.83
  4. Step 4: Simplify right side
    3,174.54x = 7,275,801.34
  5. Step 5: Solve for x
    x = 7,275,801.34/3,174.54
  6. Step 6: Final answer
    x = 2,291.92

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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.