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Finding the Fourth Proportional to 2,137.37, 3,203.62 and 902.93

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Solution

The fourth proportional to 2,137.37, 3,203.62 and 902.93 is: 1,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.37 : 3,203.62 = 902.93 : x
  2. Step 2: Convert to fraction form
    2,137.37/3,203.62 = 902.93/x
  3. Step 3: Cross multiply
    2,137.37x = 3,203.62 × 902.93
  4. Step 4: Simplify right side
    2,137.37x = 2,892,644.61
  5. Step 5: Solve for x
    x = 2,892,644.61/2,137.37
  6. Step 6: Final answer
    x = 1,353.37

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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.