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Finding the Fourth Proportional to 2,093.73, 3,140.62 and 632.94

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Solution

The fourth proportional to 2,093.73, 3,140.62 and 632.94 is: 949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.73 : 3,140.62 = 632.94 : x
  2. Step 2: Convert to fraction form
    2,093.73/3,140.62 = 632.94/x
  3. Step 3: Cross multiply
    2,093.73x = 3,140.62 × 632.94
  4. Step 4: Simplify right side
    2,093.73x = 1,987,824.02
  5. Step 5: Solve for x
    x = 1,987,824.02/2,093.73
  6. Step 6: Final answer
    x = 949.42

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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.