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Finding the Fourth Proportional to 2,093.95, 3,141.50 and 633.16

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Solution

The fourth proportional to 2,093.95, 3,141.50 and 633.16 is: 949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.95 : 3,141.50 = 633.16 : x
  2. Step 2: Convert to fraction form
    2,093.95/3,141.50 = 633.16/x
  3. Step 3: Cross multiply
    2,093.95x = 3,141.50 × 633.16
  4. Step 4: Simplify right side
    2,093.95x = 1,989,072.14
  5. Step 5: Solve for x
    x = 1,989,072.14/2,093.95
  6. Step 6: Final answer
    x = 949.91

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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.