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Finding the Fourth Proportional to 2,103.80, 3,155.64 and 564.80

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Solution

The fourth proportional to 2,103.80, 3,155.64 and 564.80 is: 847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.80 : 3,155.64 = 564.80 : x
  2. Step 2: Convert to fraction form
    2,103.80/3,155.64 = 564.80/x
  3. Step 3: Cross multiply
    2,103.80x = 3,155.64 × 564.80
  4. Step 4: Simplify right side
    2,103.80x = 1,782,305.47
  5. Step 5: Solve for x
    x = 1,782,305.47/2,103.80
  6. Step 6: Final answer
    x = 847.18

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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.