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Finding the Fourth Proportional to 2,107.64, 3,161.99 and 646.80

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Solution

The fourth proportional to 2,107.64, 3,161.99 and 646.80 is: 970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.64 : 3,161.99 = 646.80 : x
  2. Step 2: Convert to fraction form
    2,107.64/3,161.99 = 646.80/x
  3. Step 3: Cross multiply
    2,107.64x = 3,161.99 × 646.80
  4. Step 4: Simplify right side
    2,107.64x = 2,045,176.75
  5. Step 5: Solve for x
    x = 2,045,176.75/2,107.64
  6. Step 6: Final answer
    x = 970.37

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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.