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Finding the Fourth Proportional to 2,093.62, 3,140.22 and 632.98

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Solution

The fourth proportional to 2,093.62, 3,140.22 and 632.98 is: 949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.62 : 3,140.22 = 632.98 : x
  2. Step 2: Convert to fraction form
    2,093.62/3,140.22 = 632.98/x
  3. Step 3: Cross multiply
    2,093.62x = 3,140.22 × 632.98
  4. Step 4: Simplify right side
    2,093.62x = 1,987,696.46
  5. Step 5: Solve for x
    x = 1,987,696.46/2,093.62
  6. Step 6: Final answer
    x = 949.41

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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.