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Finding the Fourth Proportional to 2,126, 2,933.88 and 1,194.50

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Solution

The fourth proportional to 2,126, 2,933.88 and 1,194.50 is: 1,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126 : 2,933.88 = 1,194.50 : x
  2. Step 2: Convert to fraction form
    2,126/2,933.88 = 1,194.50/x
  3. Step 3: Cross multiply
    2,126x = 2,933.88 × 1,194.50
  4. Step 4: Simplify right side
    2,126x = 3,504,519.66
  5. Step 5: Solve for x
    x = 3,504,519.66/2,126
  6. Step 6: Final answer
    x = 1,648.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.