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Finding the Fourth Proportional to 2,154.70, 3,232.66 and 838.86

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Solution

The fourth proportional to 2,154.70, 3,232.66 and 838.86 is: 1,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.70 : 3,232.66 = 838.86 : x
  2. Step 2: Convert to fraction form
    2,154.70/3,232.66 = 838.86/x
  3. Step 3: Cross multiply
    2,154.70x = 3,232.66 × 838.86
  4. Step 4: Simplify right side
    2,154.70x = 2,711,749.17
  5. Step 5: Solve for x
    x = 2,711,749.17/2,154.70
  6. Step 6: Final answer
    x = 1,258.53

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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.