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Finding the Fourth Proportional to 2,478.40, 3,717.70 and 834.50

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Solution

The fourth proportional to 2,478.40, 3,717.70 and 834.50 is: 1,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.40 : 3,717.70 = 834.50 : x
  2. Step 2: Convert to fraction form
    2,478.40/3,717.70 = 834.50/x
  3. Step 3: Cross multiply
    2,478.40x = 3,717.70 × 834.50
  4. Step 4: Simplify right side
    2,478.40x = 3,102,427.86
  5. Step 5: Solve for x
    x = 3,102,427.86/2,478.40
  6. Step 6: Final answer
    x = 1,251.79

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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.