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Finding the Fourth Proportional to 3,300.14, 4,950.37 and 834.98

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Solution

The fourth proportional to 3,300.14, 4,950.37 and 834.98 is: 1,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.14 : 4,950.37 = 834.98 : x
  2. Step 2: Convert to fraction form
    3,300.14/4,950.37 = 834.98/x
  3. Step 3: Cross multiply
    3,300.14x = 4,950.37 × 834.98
  4. Step 4: Simplify right side
    3,300.14x = 4,133,435.19
  5. Step 5: Solve for x
    x = 4,133,435.19/3,300.14
  6. Step 6: Final answer
    x = 1,252.50

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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.