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Finding the Fourth Proportional to 2,103.97, 3,155.96 and 564.97

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Solution

The fourth proportional to 2,103.97, 3,155.96 and 564.97 is: 847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.97 : 3,155.96 = 564.97 : x
  2. Step 2: Convert to fraction form
    2,103.97/3,155.96 = 564.97/x
  3. Step 3: Cross multiply
    2,103.97x = 3,155.96 × 564.97
  4. Step 4: Simplify right side
    2,103.97x = 1,783,019.90
  5. Step 5: Solve for x
    x = 1,783,019.90/2,103.97
  6. Step 6: Final answer
    x = 847.46

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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.