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Finding the Fourth Proportional to 2,094.33, 3,140.91 and 633.50

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Solution

The fourth proportional to 2,094.33, 3,140.91 and 633.50 is: 950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.33 : 3,140.91 = 633.50 : x
  2. Step 2: Convert to fraction form
    2,094.33/3,140.91 = 633.50/x
  3. Step 3: Cross multiply
    2,094.33x = 3,140.91 × 633.50
  4. Step 4: Simplify right side
    2,094.33x = 1,989,766.49
  5. Step 5: Solve for x
    x = 1,989,766.49/2,094.33
  6. Step 6: Final answer
    x = 950.07

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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.