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Finding the Fourth Proportional to 2,477.70, 3,717.21 and 834.02

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Solution

The fourth proportional to 2,477.70, 3,717.21 and 834.02 is: 1,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.70 : 3,717.21 = 834.02 : x
  2. Step 2: Convert to fraction form
    2,477.70/3,717.21 = 834.02/x
  3. Step 3: Cross multiply
    2,477.70x = 3,717.21 × 834.02
  4. Step 4: Simplify right side
    2,477.70x = 3,100,208.90
  5. Step 5: Solve for x
    x = 3,100,208.90/2,477.70
  6. Step 6: Final answer
    x = 1,251.24

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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.