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Finding the Fourth Proportional to 2,969.26, 4,450.94 and 1,406.50

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Solution

The fourth proportional to 2,969.26, 4,450.94 and 1,406.50 is: 2,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.26 : 4,450.94 = 1,406.50 : x
  2. Step 2: Convert to fraction form
    2,969.26/4,450.94 = 1,406.50/x
  3. Step 3: Cross multiply
    2,969.26x = 4,450.94 × 1,406.50
  4. Step 4: Simplify right side
    2,969.26x = 6,260,247.11
  5. Step 5: Solve for x
    x = 6,260,247.11/2,969.26
  6. Step 6: Final answer
    x = 2,108.35

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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.