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Finding the Fourth Proportional to 2,107.66, 3,161.46 and 646.78

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Solution

The fourth proportional to 2,107.66, 3,161.46 and 646.78 is: 970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.66 : 3,161.46 = 646.78 : x
  2. Step 2: Convert to fraction form
    2,107.66/3,161.46 = 646.78/x
  3. Step 3: Cross multiply
    2,107.66x = 3,161.46 × 646.78
  4. Step 4: Simplify right side
    2,107.66x = 2,044,769.10
  5. Step 5: Solve for x
    x = 2,044,769.10/2,107.66
  6. Step 6: Final answer
    x = 970.16

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1.5x scale

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.