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Finding the Fourth Proportional to 2,107.70, 3,161.57 and 646.86

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Solution

The fourth proportional to 2,107.70, 3,161.57 and 646.86 is: 970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.70 : 3,161.57 = 646.86 : x
  2. Step 2: Convert to fraction form
    2,107.70/3,161.57 = 646.86/x
  3. Step 3: Cross multiply
    2,107.70x = 3,161.57 × 646.86
  4. Step 4: Simplify right side
    2,107.70x = 2,045,089.94
  5. Step 5: Solve for x
    x = 2,045,089.94/2,107.70
  6. Step 6: Final answer
    x = 970.30

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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.