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Finding the Fourth Proportional to 2,107.49, 3,161.84 and 646.85

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Solution

The fourth proportional to 2,107.49, 3,161.84 and 646.85 is: 970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.49 : 3,161.84 = 646.85 : x
  2. Step 2: Convert to fraction form
    2,107.49/3,161.84 = 646.85/x
  3. Step 3: Cross multiply
    2,107.49x = 3,161.84 × 646.85
  4. Step 4: Simplify right side
    2,107.49x = 2,045,240.87
  5. Step 5: Solve for x
    x = 2,045,240.87/2,107.49
  6. Step 6: Final answer
    x = 970.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.