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Finding the Fourth Proportional to 2,123.75, 3,186.03 and 969.50

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Solution

The fourth proportional to 2,123.75, 3,186.03 and 969.50 is: 1,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.75 : 3,186.03 = 969.50 : x
  2. Step 2: Convert to fraction form
    2,123.75/3,186.03 = 969.50/x
  3. Step 3: Cross multiply
    2,123.75x = 3,186.03 × 969.50
  4. Step 4: Simplify right side
    2,123.75x = 3,088,856.09
  5. Step 5: Solve for x
    x = 3,088,856.09/2,123.75
  6. Step 6: Final answer
    x = 1,454.43

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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.