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Finding the Fourth Proportional to 2,137.17, 3,201.50 and 1,404.53

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Solution

The fourth proportional to 2,137.17, 3,201.50 and 1,404.53 is: 2,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.17 : 3,201.50 = 1,404.53 : x
  2. Step 2: Convert to fraction form
    2,137.17/3,201.50 = 1,404.53/x
  3. Step 3: Cross multiply
    2,137.17x = 3,201.50 × 1,404.53
  4. Step 4: Simplify right side
    2,137.17x = 4,496,579.76
  5. Step 5: Solve for x
    x = 4,496,579.76/2,137.17
  6. Step 6: Final answer
    x = 2,103.99

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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.