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Finding the Fourth Proportional to 2,094.35, 3,140.91 and 633.11

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Solution

The fourth proportional to 2,094.35, 3,140.91 and 633.11 is: 949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.35 : 3,140.91 = 633.11 : x
  2. Step 2: Convert to fraction form
    2,094.35/3,140.91 = 633.11/x
  3. Step 3: Cross multiply
    2,094.35x = 3,140.91 × 633.11
  4. Step 4: Simplify right side
    2,094.35x = 1,988,525.83
  5. Step 5: Solve for x
    x = 1,988,525.83/2,094.35
  6. Step 6: Final answer
    x = 949.47

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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.