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Finding the Fourth Proportional to 2,475, 3,712.50 and 743.58

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Solution

The fourth proportional to 2,475, 3,712.50 and 743.58 is: 1,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475 : 3,712.50 = 743.58 : x
  2. Step 2: Convert to fraction form
    2,475/3,712.50 = 743.58/x
  3. Step 3: Cross multiply
    2,475x = 3,712.50 × 743.58
  4. Step 4: Simplify right side
    2,475x = 2,760,540.75
  5. Step 5: Solve for x
    x = 2,760,540.75/2,475
  6. Step 6: Final answer
    x = 1,115.37

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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.